7.6B STUDENT ACTIVITY #1 (7.6) Geometry and spatial reasoning. The student compares and classifies shapes and solids using geometric vocabulary and properties. The student.
Download ReportTranscript 7.6B STUDENT ACTIVITY #1 (7.6) Geometry and spatial reasoning. The student compares and classifies shapes and solids using geometric vocabulary and properties. The student.
Slide 1
7.6B STUDENT ACTIVITY #1
(7.6) Geometry and spatial reasoning.
The student compares and classifies shapes and solids using
geometric vocabulary and properties.
The student is expected to:
(B) use properties to classify triangles and quadrilaterals.
QUADRILATERALS
• A quadrilateral is a polygon. A polygon is a
closed plane figure formed by line segments
that meet only at their endpoints.
• A quadrilateral has four sides which are line
segments.
• Some quadrilaterals have special traits, so they
have special names: trapezoid, parallelogram,
rectangle, rhombus, and square.
• The sum of the measures of the four angles of
any quadrilateral is 360°.
QUADRILATERALS
• Parallel – two lines that are the same distance apart at all points.
(They never intersect)
• Congruent – having the same size and shape.
• Consecutive – following in order.
• Supplementary – two angles whose sum equals 180°.
• Perpendicular – lines that intersect at one point and form right
angles.
• Adjacent – angles that share a common ray, have a common
vertex,and do not overlap.
• Right Angle – an angle with a measure of 90°.
QUADRILATERALS
Parallelogram
180°
180°
180°
180°
• Both pairs of opposite sides are parallel.
• Both pairs of opposite sides are congruent.
• Both pairs of opposite angles are congruent.
• Consecutive angles are supplementary.
QUADRILATERALS
90°
Rectangle
90°
90°
90°
• Both pairs of opposite sides are parallel.
• Both pairs of opposite sides are congruent.
• All pairs of adjacent angles are perpendicular.
• All angles are right angles.
QUADRILATERALS
180°
Rhombus
180°
180°
180°
• Both pairs of opposite sides are parallel.
• All sides are congruent.
• Both pairs of opposite angles are congruent.
• Consecutive angles are supplementary.
QUADRILATERALS
Square
90°
90°
90°
90°
• Both pairs of opposite sides are parallel.
• All sides are congruent.
• All pairs of adjacent angles are perpendicular.
• All angles are right angles.
QUADRILATERALS
Trapezoid
180°
180°
• Exactly one pair of opposite sides is parallel.
• Exactly two pairs of consecutive angles are
supplementary.
Slide 2
7.6B STUDENT ACTIVITY #1
(7.6) Geometry and spatial reasoning.
The student compares and classifies shapes and solids using
geometric vocabulary and properties.
The student is expected to:
(B) use properties to classify triangles and quadrilaterals.
QUADRILATERALS
• A quadrilateral is a polygon. A polygon is a
closed plane figure formed by line segments
that meet only at their endpoints.
• A quadrilateral has four sides which are line
segments.
• Some quadrilaterals have special traits, so they
have special names: trapezoid, parallelogram,
rectangle, rhombus, and square.
• The sum of the measures of the four angles of
any quadrilateral is 360°.
QUADRILATERALS
• Parallel – two lines that are the same distance apart at all points.
(They never intersect)
• Congruent – having the same size and shape.
• Consecutive – following in order.
• Supplementary – two angles whose sum equals 180°.
• Perpendicular – lines that intersect at one point and form right
angles.
• Adjacent – angles that share a common ray, have a common
vertex,and do not overlap.
• Right Angle – an angle with a measure of 90°.
QUADRILATERALS
Parallelogram
180°
180°
180°
180°
• Both pairs of opposite sides are parallel.
• Both pairs of opposite sides are congruent.
• Both pairs of opposite angles are congruent.
• Consecutive angles are supplementary.
QUADRILATERALS
90°
Rectangle
90°
90°
90°
• Both pairs of opposite sides are parallel.
• Both pairs of opposite sides are congruent.
• All pairs of adjacent angles are perpendicular.
• All angles are right angles.
QUADRILATERALS
180°
Rhombus
180°
180°
180°
• Both pairs of opposite sides are parallel.
• All sides are congruent.
• Both pairs of opposite angles are congruent.
• Consecutive angles are supplementary.
QUADRILATERALS
Square
90°
90°
90°
90°
• Both pairs of opposite sides are parallel.
• All sides are congruent.
• All pairs of adjacent angles are perpendicular.
• All angles are right angles.
QUADRILATERALS
Trapezoid
180°
180°
• Exactly one pair of opposite sides is parallel.
• Exactly two pairs of consecutive angles are
supplementary.
Slide 3
7.6B STUDENT ACTIVITY #1
(7.6) Geometry and spatial reasoning.
The student compares and classifies shapes and solids using
geometric vocabulary and properties.
The student is expected to:
(B) use properties to classify triangles and quadrilaterals.
QUADRILATERALS
• A quadrilateral is a polygon. A polygon is a
closed plane figure formed by line segments
that meet only at their endpoints.
• A quadrilateral has four sides which are line
segments.
• Some quadrilaterals have special traits, so they
have special names: trapezoid, parallelogram,
rectangle, rhombus, and square.
• The sum of the measures of the four angles of
any quadrilateral is 360°.
QUADRILATERALS
• Parallel – two lines that are the same distance apart at all points.
(They never intersect)
• Congruent – having the same size and shape.
• Consecutive – following in order.
• Supplementary – two angles whose sum equals 180°.
• Perpendicular – lines that intersect at one point and form right
angles.
• Adjacent – angles that share a common ray, have a common
vertex,and do not overlap.
• Right Angle – an angle with a measure of 90°.
QUADRILATERALS
Parallelogram
180°
180°
180°
180°
• Both pairs of opposite sides are parallel.
• Both pairs of opposite sides are congruent.
• Both pairs of opposite angles are congruent.
• Consecutive angles are supplementary.
QUADRILATERALS
90°
Rectangle
90°
90°
90°
• Both pairs of opposite sides are parallel.
• Both pairs of opposite sides are congruent.
• All pairs of adjacent angles are perpendicular.
• All angles are right angles.
QUADRILATERALS
180°
Rhombus
180°
180°
180°
• Both pairs of opposite sides are parallel.
• All sides are congruent.
• Both pairs of opposite angles are congruent.
• Consecutive angles are supplementary.
QUADRILATERALS
Square
90°
90°
90°
90°
• Both pairs of opposite sides are parallel.
• All sides are congruent.
• All pairs of adjacent angles are perpendicular.
• All angles are right angles.
QUADRILATERALS
Trapezoid
180°
180°
• Exactly one pair of opposite sides is parallel.
• Exactly two pairs of consecutive angles are
supplementary.
Slide 4
7.6B STUDENT ACTIVITY #1
(7.6) Geometry and spatial reasoning.
The student compares and classifies shapes and solids using
geometric vocabulary and properties.
The student is expected to:
(B) use properties to classify triangles and quadrilaterals.
QUADRILATERALS
• A quadrilateral is a polygon. A polygon is a
closed plane figure formed by line segments
that meet only at their endpoints.
• A quadrilateral has four sides which are line
segments.
• Some quadrilaterals have special traits, so they
have special names: trapezoid, parallelogram,
rectangle, rhombus, and square.
• The sum of the measures of the four angles of
any quadrilateral is 360°.
QUADRILATERALS
• Parallel – two lines that are the same distance apart at all points.
(They never intersect)
• Congruent – having the same size and shape.
• Consecutive – following in order.
• Supplementary – two angles whose sum equals 180°.
• Perpendicular – lines that intersect at one point and form right
angles.
• Adjacent – angles that share a common ray, have a common
vertex,and do not overlap.
• Right Angle – an angle with a measure of 90°.
QUADRILATERALS
Parallelogram
180°
180°
180°
180°
• Both pairs of opposite sides are parallel.
• Both pairs of opposite sides are congruent.
• Both pairs of opposite angles are congruent.
• Consecutive angles are supplementary.
QUADRILATERALS
90°
Rectangle
90°
90°
90°
• Both pairs of opposite sides are parallel.
• Both pairs of opposite sides are congruent.
• All pairs of adjacent angles are perpendicular.
• All angles are right angles.
QUADRILATERALS
180°
Rhombus
180°
180°
180°
• Both pairs of opposite sides are parallel.
• All sides are congruent.
• Both pairs of opposite angles are congruent.
• Consecutive angles are supplementary.
QUADRILATERALS
Square
90°
90°
90°
90°
• Both pairs of opposite sides are parallel.
• All sides are congruent.
• All pairs of adjacent angles are perpendicular.
• All angles are right angles.
QUADRILATERALS
Trapezoid
180°
180°
• Exactly one pair of opposite sides is parallel.
• Exactly two pairs of consecutive angles are
supplementary.
Slide 5
7.6B STUDENT ACTIVITY #1
(7.6) Geometry and spatial reasoning.
The student compares and classifies shapes and solids using
geometric vocabulary and properties.
The student is expected to:
(B) use properties to classify triangles and quadrilaterals.
QUADRILATERALS
• A quadrilateral is a polygon. A polygon is a
closed plane figure formed by line segments
that meet only at their endpoints.
• A quadrilateral has four sides which are line
segments.
• Some quadrilaterals have special traits, so they
have special names: trapezoid, parallelogram,
rectangle, rhombus, and square.
• The sum of the measures of the four angles of
any quadrilateral is 360°.
QUADRILATERALS
• Parallel – two lines that are the same distance apart at all points.
(They never intersect)
• Congruent – having the same size and shape.
• Consecutive – following in order.
• Supplementary – two angles whose sum equals 180°.
• Perpendicular – lines that intersect at one point and form right
angles.
• Adjacent – angles that share a common ray, have a common
vertex,and do not overlap.
• Right Angle – an angle with a measure of 90°.
QUADRILATERALS
Parallelogram
180°
180°
180°
180°
• Both pairs of opposite sides are parallel.
• Both pairs of opposite sides are congruent.
• Both pairs of opposite angles are congruent.
• Consecutive angles are supplementary.
QUADRILATERALS
90°
Rectangle
90°
90°
90°
• Both pairs of opposite sides are parallel.
• Both pairs of opposite sides are congruent.
• All pairs of adjacent angles are perpendicular.
• All angles are right angles.
QUADRILATERALS
180°
Rhombus
180°
180°
180°
• Both pairs of opposite sides are parallel.
• All sides are congruent.
• Both pairs of opposite angles are congruent.
• Consecutive angles are supplementary.
QUADRILATERALS
Square
90°
90°
90°
90°
• Both pairs of opposite sides are parallel.
• All sides are congruent.
• All pairs of adjacent angles are perpendicular.
• All angles are right angles.
QUADRILATERALS
Trapezoid
180°
180°
• Exactly one pair of opposite sides is parallel.
• Exactly two pairs of consecutive angles are
supplementary.
Slide 6
7.6B STUDENT ACTIVITY #1
(7.6) Geometry and spatial reasoning.
The student compares and classifies shapes and solids using
geometric vocabulary and properties.
The student is expected to:
(B) use properties to classify triangles and quadrilaterals.
QUADRILATERALS
• A quadrilateral is a polygon. A polygon is a
closed plane figure formed by line segments
that meet only at their endpoints.
• A quadrilateral has four sides which are line
segments.
• Some quadrilaterals have special traits, so they
have special names: trapezoid, parallelogram,
rectangle, rhombus, and square.
• The sum of the measures of the four angles of
any quadrilateral is 360°.
QUADRILATERALS
• Parallel – two lines that are the same distance apart at all points.
(They never intersect)
• Congruent – having the same size and shape.
• Consecutive – following in order.
• Supplementary – two angles whose sum equals 180°.
• Perpendicular – lines that intersect at one point and form right
angles.
• Adjacent – angles that share a common ray, have a common
vertex,and do not overlap.
• Right Angle – an angle with a measure of 90°.
QUADRILATERALS
Parallelogram
180°
180°
180°
180°
• Both pairs of opposite sides are parallel.
• Both pairs of opposite sides are congruent.
• Both pairs of opposite angles are congruent.
• Consecutive angles are supplementary.
QUADRILATERALS
90°
Rectangle
90°
90°
90°
• Both pairs of opposite sides are parallel.
• Both pairs of opposite sides are congruent.
• All pairs of adjacent angles are perpendicular.
• All angles are right angles.
QUADRILATERALS
180°
Rhombus
180°
180°
180°
• Both pairs of opposite sides are parallel.
• All sides are congruent.
• Both pairs of opposite angles are congruent.
• Consecutive angles are supplementary.
QUADRILATERALS
Square
90°
90°
90°
90°
• Both pairs of opposite sides are parallel.
• All sides are congruent.
• All pairs of adjacent angles are perpendicular.
• All angles are right angles.
QUADRILATERALS
Trapezoid
180°
180°
• Exactly one pair of opposite sides is parallel.
• Exactly two pairs of consecutive angles are
supplementary.
Slide 7
7.6B STUDENT ACTIVITY #1
(7.6) Geometry and spatial reasoning.
The student compares and classifies shapes and solids using
geometric vocabulary and properties.
The student is expected to:
(B) use properties to classify triangles and quadrilaterals.
QUADRILATERALS
• A quadrilateral is a polygon. A polygon is a
closed plane figure formed by line segments
that meet only at their endpoints.
• A quadrilateral has four sides which are line
segments.
• Some quadrilaterals have special traits, so they
have special names: trapezoid, parallelogram,
rectangle, rhombus, and square.
• The sum of the measures of the four angles of
any quadrilateral is 360°.
QUADRILATERALS
• Parallel – two lines that are the same distance apart at all points.
(They never intersect)
• Congruent – having the same size and shape.
• Consecutive – following in order.
• Supplementary – two angles whose sum equals 180°.
• Perpendicular – lines that intersect at one point and form right
angles.
• Adjacent – angles that share a common ray, have a common
vertex,and do not overlap.
• Right Angle – an angle with a measure of 90°.
QUADRILATERALS
Parallelogram
180°
180°
180°
180°
• Both pairs of opposite sides are parallel.
• Both pairs of opposite sides are congruent.
• Both pairs of opposite angles are congruent.
• Consecutive angles are supplementary.
QUADRILATERALS
90°
Rectangle
90°
90°
90°
• Both pairs of opposite sides are parallel.
• Both pairs of opposite sides are congruent.
• All pairs of adjacent angles are perpendicular.
• All angles are right angles.
QUADRILATERALS
180°
Rhombus
180°
180°
180°
• Both pairs of opposite sides are parallel.
• All sides are congruent.
• Both pairs of opposite angles are congruent.
• Consecutive angles are supplementary.
QUADRILATERALS
Square
90°
90°
90°
90°
• Both pairs of opposite sides are parallel.
• All sides are congruent.
• All pairs of adjacent angles are perpendicular.
• All angles are right angles.
QUADRILATERALS
Trapezoid
180°
180°
• Exactly one pair of opposite sides is parallel.
• Exactly two pairs of consecutive angles are
supplementary.
Slide 8
7.6B STUDENT ACTIVITY #1
(7.6) Geometry and spatial reasoning.
The student compares and classifies shapes and solids using
geometric vocabulary and properties.
The student is expected to:
(B) use properties to classify triangles and quadrilaterals.
QUADRILATERALS
• A quadrilateral is a polygon. A polygon is a
closed plane figure formed by line segments
that meet only at their endpoints.
• A quadrilateral has four sides which are line
segments.
• Some quadrilaterals have special traits, so they
have special names: trapezoid, parallelogram,
rectangle, rhombus, and square.
• The sum of the measures of the four angles of
any quadrilateral is 360°.
QUADRILATERALS
• Parallel – two lines that are the same distance apart at all points.
(They never intersect)
• Congruent – having the same size and shape.
• Consecutive – following in order.
• Supplementary – two angles whose sum equals 180°.
• Perpendicular – lines that intersect at one point and form right
angles.
• Adjacent – angles that share a common ray, have a common
vertex,and do not overlap.
• Right Angle – an angle with a measure of 90°.
QUADRILATERALS
Parallelogram
180°
180°
180°
180°
• Both pairs of opposite sides are parallel.
• Both pairs of opposite sides are congruent.
• Both pairs of opposite angles are congruent.
• Consecutive angles are supplementary.
QUADRILATERALS
90°
Rectangle
90°
90°
90°
• Both pairs of opposite sides are parallel.
• Both pairs of opposite sides are congruent.
• All pairs of adjacent angles are perpendicular.
• All angles are right angles.
QUADRILATERALS
180°
Rhombus
180°
180°
180°
• Both pairs of opposite sides are parallel.
• All sides are congruent.
• Both pairs of opposite angles are congruent.
• Consecutive angles are supplementary.
QUADRILATERALS
Square
90°
90°
90°
90°
• Both pairs of opposite sides are parallel.
• All sides are congruent.
• All pairs of adjacent angles are perpendicular.
• All angles are right angles.
QUADRILATERALS
Trapezoid
180°
180°
• Exactly one pair of opposite sides is parallel.
• Exactly two pairs of consecutive angles are
supplementary.
7.6B STUDENT ACTIVITY #1
(7.6) Geometry and spatial reasoning.
The student compares and classifies shapes and solids using
geometric vocabulary and properties.
The student is expected to:
(B) use properties to classify triangles and quadrilaterals.
QUADRILATERALS
• A quadrilateral is a polygon. A polygon is a
closed plane figure formed by line segments
that meet only at their endpoints.
• A quadrilateral has four sides which are line
segments.
• Some quadrilaterals have special traits, so they
have special names: trapezoid, parallelogram,
rectangle, rhombus, and square.
• The sum of the measures of the four angles of
any quadrilateral is 360°.
QUADRILATERALS
• Parallel – two lines that are the same distance apart at all points.
(They never intersect)
• Congruent – having the same size and shape.
• Consecutive – following in order.
• Supplementary – two angles whose sum equals 180°.
• Perpendicular – lines that intersect at one point and form right
angles.
• Adjacent – angles that share a common ray, have a common
vertex,and do not overlap.
• Right Angle – an angle with a measure of 90°.
QUADRILATERALS
Parallelogram
180°
180°
180°
180°
• Both pairs of opposite sides are parallel.
• Both pairs of opposite sides are congruent.
• Both pairs of opposite angles are congruent.
• Consecutive angles are supplementary.
QUADRILATERALS
90°
Rectangle
90°
90°
90°
• Both pairs of opposite sides are parallel.
• Both pairs of opposite sides are congruent.
• All pairs of adjacent angles are perpendicular.
• All angles are right angles.
QUADRILATERALS
180°
Rhombus
180°
180°
180°
• Both pairs of opposite sides are parallel.
• All sides are congruent.
• Both pairs of opposite angles are congruent.
• Consecutive angles are supplementary.
QUADRILATERALS
Square
90°
90°
90°
90°
• Both pairs of opposite sides are parallel.
• All sides are congruent.
• All pairs of adjacent angles are perpendicular.
• All angles are right angles.
QUADRILATERALS
Trapezoid
180°
180°
• Exactly one pair of opposite sides is parallel.
• Exactly two pairs of consecutive angles are
supplementary.
Slide 2
7.6B STUDENT ACTIVITY #1
(7.6) Geometry and spatial reasoning.
The student compares and classifies shapes and solids using
geometric vocabulary and properties.
The student is expected to:
(B) use properties to classify triangles and quadrilaterals.
QUADRILATERALS
• A quadrilateral is a polygon. A polygon is a
closed plane figure formed by line segments
that meet only at their endpoints.
• A quadrilateral has four sides which are line
segments.
• Some quadrilaterals have special traits, so they
have special names: trapezoid, parallelogram,
rectangle, rhombus, and square.
• The sum of the measures of the four angles of
any quadrilateral is 360°.
QUADRILATERALS
• Parallel – two lines that are the same distance apart at all points.
(They never intersect)
• Congruent – having the same size and shape.
• Consecutive – following in order.
• Supplementary – two angles whose sum equals 180°.
• Perpendicular – lines that intersect at one point and form right
angles.
• Adjacent – angles that share a common ray, have a common
vertex,and do not overlap.
• Right Angle – an angle with a measure of 90°.
QUADRILATERALS
Parallelogram
180°
180°
180°
180°
• Both pairs of opposite sides are parallel.
• Both pairs of opposite sides are congruent.
• Both pairs of opposite angles are congruent.
• Consecutive angles are supplementary.
QUADRILATERALS
90°
Rectangle
90°
90°
90°
• Both pairs of opposite sides are parallel.
• Both pairs of opposite sides are congruent.
• All pairs of adjacent angles are perpendicular.
• All angles are right angles.
QUADRILATERALS
180°
Rhombus
180°
180°
180°
• Both pairs of opposite sides are parallel.
• All sides are congruent.
• Both pairs of opposite angles are congruent.
• Consecutive angles are supplementary.
QUADRILATERALS
Square
90°
90°
90°
90°
• Both pairs of opposite sides are parallel.
• All sides are congruent.
• All pairs of adjacent angles are perpendicular.
• All angles are right angles.
QUADRILATERALS
Trapezoid
180°
180°
• Exactly one pair of opposite sides is parallel.
• Exactly two pairs of consecutive angles are
supplementary.
Slide 3
7.6B STUDENT ACTIVITY #1
(7.6) Geometry and spatial reasoning.
The student compares and classifies shapes and solids using
geometric vocabulary and properties.
The student is expected to:
(B) use properties to classify triangles and quadrilaterals.
QUADRILATERALS
• A quadrilateral is a polygon. A polygon is a
closed plane figure formed by line segments
that meet only at their endpoints.
• A quadrilateral has four sides which are line
segments.
• Some quadrilaterals have special traits, so they
have special names: trapezoid, parallelogram,
rectangle, rhombus, and square.
• The sum of the measures of the four angles of
any quadrilateral is 360°.
QUADRILATERALS
• Parallel – two lines that are the same distance apart at all points.
(They never intersect)
• Congruent – having the same size and shape.
• Consecutive – following in order.
• Supplementary – two angles whose sum equals 180°.
• Perpendicular – lines that intersect at one point and form right
angles.
• Adjacent – angles that share a common ray, have a common
vertex,and do not overlap.
• Right Angle – an angle with a measure of 90°.
QUADRILATERALS
Parallelogram
180°
180°
180°
180°
• Both pairs of opposite sides are parallel.
• Both pairs of opposite sides are congruent.
• Both pairs of opposite angles are congruent.
• Consecutive angles are supplementary.
QUADRILATERALS
90°
Rectangle
90°
90°
90°
• Both pairs of opposite sides are parallel.
• Both pairs of opposite sides are congruent.
• All pairs of adjacent angles are perpendicular.
• All angles are right angles.
QUADRILATERALS
180°
Rhombus
180°
180°
180°
• Both pairs of opposite sides are parallel.
• All sides are congruent.
• Both pairs of opposite angles are congruent.
• Consecutive angles are supplementary.
QUADRILATERALS
Square
90°
90°
90°
90°
• Both pairs of opposite sides are parallel.
• All sides are congruent.
• All pairs of adjacent angles are perpendicular.
• All angles are right angles.
QUADRILATERALS
Trapezoid
180°
180°
• Exactly one pair of opposite sides is parallel.
• Exactly two pairs of consecutive angles are
supplementary.
Slide 4
7.6B STUDENT ACTIVITY #1
(7.6) Geometry and spatial reasoning.
The student compares and classifies shapes and solids using
geometric vocabulary and properties.
The student is expected to:
(B) use properties to classify triangles and quadrilaterals.
QUADRILATERALS
• A quadrilateral is a polygon. A polygon is a
closed plane figure formed by line segments
that meet only at their endpoints.
• A quadrilateral has four sides which are line
segments.
• Some quadrilaterals have special traits, so they
have special names: trapezoid, parallelogram,
rectangle, rhombus, and square.
• The sum of the measures of the four angles of
any quadrilateral is 360°.
QUADRILATERALS
• Parallel – two lines that are the same distance apart at all points.
(They never intersect)
• Congruent – having the same size and shape.
• Consecutive – following in order.
• Supplementary – two angles whose sum equals 180°.
• Perpendicular – lines that intersect at one point and form right
angles.
• Adjacent – angles that share a common ray, have a common
vertex,and do not overlap.
• Right Angle – an angle with a measure of 90°.
QUADRILATERALS
Parallelogram
180°
180°
180°
180°
• Both pairs of opposite sides are parallel.
• Both pairs of opposite sides are congruent.
• Both pairs of opposite angles are congruent.
• Consecutive angles are supplementary.
QUADRILATERALS
90°
Rectangle
90°
90°
90°
• Both pairs of opposite sides are parallel.
• Both pairs of opposite sides are congruent.
• All pairs of adjacent angles are perpendicular.
• All angles are right angles.
QUADRILATERALS
180°
Rhombus
180°
180°
180°
• Both pairs of opposite sides are parallel.
• All sides are congruent.
• Both pairs of opposite angles are congruent.
• Consecutive angles are supplementary.
QUADRILATERALS
Square
90°
90°
90°
90°
• Both pairs of opposite sides are parallel.
• All sides are congruent.
• All pairs of adjacent angles are perpendicular.
• All angles are right angles.
QUADRILATERALS
Trapezoid
180°
180°
• Exactly one pair of opposite sides is parallel.
• Exactly two pairs of consecutive angles are
supplementary.
Slide 5
7.6B STUDENT ACTIVITY #1
(7.6) Geometry and spatial reasoning.
The student compares and classifies shapes and solids using
geometric vocabulary and properties.
The student is expected to:
(B) use properties to classify triangles and quadrilaterals.
QUADRILATERALS
• A quadrilateral is a polygon. A polygon is a
closed plane figure formed by line segments
that meet only at their endpoints.
• A quadrilateral has four sides which are line
segments.
• Some quadrilaterals have special traits, so they
have special names: trapezoid, parallelogram,
rectangle, rhombus, and square.
• The sum of the measures of the four angles of
any quadrilateral is 360°.
QUADRILATERALS
• Parallel – two lines that are the same distance apart at all points.
(They never intersect)
• Congruent – having the same size and shape.
• Consecutive – following in order.
• Supplementary – two angles whose sum equals 180°.
• Perpendicular – lines that intersect at one point and form right
angles.
• Adjacent – angles that share a common ray, have a common
vertex,and do not overlap.
• Right Angle – an angle with a measure of 90°.
QUADRILATERALS
Parallelogram
180°
180°
180°
180°
• Both pairs of opposite sides are parallel.
• Both pairs of opposite sides are congruent.
• Both pairs of opposite angles are congruent.
• Consecutive angles are supplementary.
QUADRILATERALS
90°
Rectangle
90°
90°
90°
• Both pairs of opposite sides are parallel.
• Both pairs of opposite sides are congruent.
• All pairs of adjacent angles are perpendicular.
• All angles are right angles.
QUADRILATERALS
180°
Rhombus
180°
180°
180°
• Both pairs of opposite sides are parallel.
• All sides are congruent.
• Both pairs of opposite angles are congruent.
• Consecutive angles are supplementary.
QUADRILATERALS
Square
90°
90°
90°
90°
• Both pairs of opposite sides are parallel.
• All sides are congruent.
• All pairs of adjacent angles are perpendicular.
• All angles are right angles.
QUADRILATERALS
Trapezoid
180°
180°
• Exactly one pair of opposite sides is parallel.
• Exactly two pairs of consecutive angles are
supplementary.
Slide 6
7.6B STUDENT ACTIVITY #1
(7.6) Geometry and spatial reasoning.
The student compares and classifies shapes and solids using
geometric vocabulary and properties.
The student is expected to:
(B) use properties to classify triangles and quadrilaterals.
QUADRILATERALS
• A quadrilateral is a polygon. A polygon is a
closed plane figure formed by line segments
that meet only at their endpoints.
• A quadrilateral has four sides which are line
segments.
• Some quadrilaterals have special traits, so they
have special names: trapezoid, parallelogram,
rectangle, rhombus, and square.
• The sum of the measures of the four angles of
any quadrilateral is 360°.
QUADRILATERALS
• Parallel – two lines that are the same distance apart at all points.
(They never intersect)
• Congruent – having the same size and shape.
• Consecutive – following in order.
• Supplementary – two angles whose sum equals 180°.
• Perpendicular – lines that intersect at one point and form right
angles.
• Adjacent – angles that share a common ray, have a common
vertex,and do not overlap.
• Right Angle – an angle with a measure of 90°.
QUADRILATERALS
Parallelogram
180°
180°
180°
180°
• Both pairs of opposite sides are parallel.
• Both pairs of opposite sides are congruent.
• Both pairs of opposite angles are congruent.
• Consecutive angles are supplementary.
QUADRILATERALS
90°
Rectangle
90°
90°
90°
• Both pairs of opposite sides are parallel.
• Both pairs of opposite sides are congruent.
• All pairs of adjacent angles are perpendicular.
• All angles are right angles.
QUADRILATERALS
180°
Rhombus
180°
180°
180°
• Both pairs of opposite sides are parallel.
• All sides are congruent.
• Both pairs of opposite angles are congruent.
• Consecutive angles are supplementary.
QUADRILATERALS
Square
90°
90°
90°
90°
• Both pairs of opposite sides are parallel.
• All sides are congruent.
• All pairs of adjacent angles are perpendicular.
• All angles are right angles.
QUADRILATERALS
Trapezoid
180°
180°
• Exactly one pair of opposite sides is parallel.
• Exactly two pairs of consecutive angles are
supplementary.
Slide 7
7.6B STUDENT ACTIVITY #1
(7.6) Geometry and spatial reasoning.
The student compares and classifies shapes and solids using
geometric vocabulary and properties.
The student is expected to:
(B) use properties to classify triangles and quadrilaterals.
QUADRILATERALS
• A quadrilateral is a polygon. A polygon is a
closed plane figure formed by line segments
that meet only at their endpoints.
• A quadrilateral has four sides which are line
segments.
• Some quadrilaterals have special traits, so they
have special names: trapezoid, parallelogram,
rectangle, rhombus, and square.
• The sum of the measures of the four angles of
any quadrilateral is 360°.
QUADRILATERALS
• Parallel – two lines that are the same distance apart at all points.
(They never intersect)
• Congruent – having the same size and shape.
• Consecutive – following in order.
• Supplementary – two angles whose sum equals 180°.
• Perpendicular – lines that intersect at one point and form right
angles.
• Adjacent – angles that share a common ray, have a common
vertex,and do not overlap.
• Right Angle – an angle with a measure of 90°.
QUADRILATERALS
Parallelogram
180°
180°
180°
180°
• Both pairs of opposite sides are parallel.
• Both pairs of opposite sides are congruent.
• Both pairs of opposite angles are congruent.
• Consecutive angles are supplementary.
QUADRILATERALS
90°
Rectangle
90°
90°
90°
• Both pairs of opposite sides are parallel.
• Both pairs of opposite sides are congruent.
• All pairs of adjacent angles are perpendicular.
• All angles are right angles.
QUADRILATERALS
180°
Rhombus
180°
180°
180°
• Both pairs of opposite sides are parallel.
• All sides are congruent.
• Both pairs of opposite angles are congruent.
• Consecutive angles are supplementary.
QUADRILATERALS
Square
90°
90°
90°
90°
• Both pairs of opposite sides are parallel.
• All sides are congruent.
• All pairs of adjacent angles are perpendicular.
• All angles are right angles.
QUADRILATERALS
Trapezoid
180°
180°
• Exactly one pair of opposite sides is parallel.
• Exactly two pairs of consecutive angles are
supplementary.
Slide 8
7.6B STUDENT ACTIVITY #1
(7.6) Geometry and spatial reasoning.
The student compares and classifies shapes and solids using
geometric vocabulary and properties.
The student is expected to:
(B) use properties to classify triangles and quadrilaterals.
QUADRILATERALS
• A quadrilateral is a polygon. A polygon is a
closed plane figure formed by line segments
that meet only at their endpoints.
• A quadrilateral has four sides which are line
segments.
• Some quadrilaterals have special traits, so they
have special names: trapezoid, parallelogram,
rectangle, rhombus, and square.
• The sum of the measures of the four angles of
any quadrilateral is 360°.
QUADRILATERALS
• Parallel – two lines that are the same distance apart at all points.
(They never intersect)
• Congruent – having the same size and shape.
• Consecutive – following in order.
• Supplementary – two angles whose sum equals 180°.
• Perpendicular – lines that intersect at one point and form right
angles.
• Adjacent – angles that share a common ray, have a common
vertex,and do not overlap.
• Right Angle – an angle with a measure of 90°.
QUADRILATERALS
Parallelogram
180°
180°
180°
180°
• Both pairs of opposite sides are parallel.
• Both pairs of opposite sides are congruent.
• Both pairs of opposite angles are congruent.
• Consecutive angles are supplementary.
QUADRILATERALS
90°
Rectangle
90°
90°
90°
• Both pairs of opposite sides are parallel.
• Both pairs of opposite sides are congruent.
• All pairs of adjacent angles are perpendicular.
• All angles are right angles.
QUADRILATERALS
180°
Rhombus
180°
180°
180°
• Both pairs of opposite sides are parallel.
• All sides are congruent.
• Both pairs of opposite angles are congruent.
• Consecutive angles are supplementary.
QUADRILATERALS
Square
90°
90°
90°
90°
• Both pairs of opposite sides are parallel.
• All sides are congruent.
• All pairs of adjacent angles are perpendicular.
• All angles are right angles.
QUADRILATERALS
Trapezoid
180°
180°
• Exactly one pair of opposite sides is parallel.
• Exactly two pairs of consecutive angles are
supplementary.