Transcript Title

-rectangle
-rhombus
-square
Rectangles
Definition:
A quadrilateral with four right angles. (this is all we know)
What condition does this satisfy to be classified a parallelogram?
Properties of a Rectangle
-Opposite sides are congruent
-Opposite sides are parallel
-Opposite angles are congruent
-Diagonals bisect each other
-Consecutive angles supplementary
-Interior angles sum to 360
Why are these 6 properties true for a rectangle?
-The diagonals of a rectangle are congruent.
Label everything we know
about this figure.
Rhombus
Definition:
A quadrilateral with four congruent sides. (all we know)
What allows us to classify this as a parallelogram?
Properties of a Rhombus
-Opposite sides are congruent
-Opposite sides are parallel
-Opposite angles are congruent
-Diagonals bisect each other
-Consecutive angles supplementary
-Interior angles sum to 360
Why are these 6 properties true for a rhombus?
The diagonals of a rhombus are perpendicular.
Each diagonal of a rhombus bisects 2 angles of the rhombus
Label everything we know about
this figure.
Square
Definition:
A quadrilateral with four right angles and four congruent sides.
Properties of a square
-Opposite sides are congruent
-Opposite sides are parallel
-Opposite angles are congruent
-Diagonals bisect each other
-Consecutive angles supplementary
-Interior angles sum to 360
Is a square a rectangle? Why or why not?
Is a square a rhombus? Why or why not?
Do we then know that a square also shares the
properties of those 2 figures?
Label everything that we know
about this square
(If I were to place the first figure in front of
you, would it also be the second figure)
Is a rectangle a square?
Is a rhombus a square?
If an angle of a parallelogram is a right angle, then the
parallelogram is a rectangle.
(what would we need to know for it to be a square)
If 2 consecutive sides of a parallelogram are congruent, then
the parallelogram is a rhombus.
Quadrilateral Flow Chart
Polygons
Quadrilateral
Parallelogram
Kite
Square
Rectangle
Rhombus
Trapezoid