Transcript Unit 3 Review

Unit 3– Quadrilaterals
Review for Final Exam
True/False
• A diagonal is a line segment in a polygon that
connects any two vertices.
True/False
• If the sum of the lengths of two consecutive sides
of a kite is 48 cm, then the perimeter of the kite
is 96 cm.
True/False
• If the vertex angles of a kite measure 48° and
36°, then the nonvertex angles each measure
138°.
True/False
• The diagonals of a rectangle are perpendicular
bisectors of each other.
True/False
• A trapezoid is a quadrilateral having exactly one
pair of parallel sides.
True/False
• A polygon with ten sides is a decagon.
True/False
• A square is a rectangle with all the sides equal in
length.
True/False
• A pentagon has five sides and six diagonals.
True/False
• Any two consecutive sides of a kite are
congruent.
True/False
• If a polygon has two pairs of parallel sides then it
is a parallelogram.
True/False
• The diagonals of a parallelogram are congruent.
True/False
• The measure of each angle of a regular
dodecagon is 150°.
True/False
• If the sum of the measures of the interior angles
of a polygon is less than 1000°, then the polygon
has fewer than 7 sides.
True/False
• The sum of the measures of one set of exterior
angles of a polygon is always less than the sum
of the measures of the interior angles.
True/False
• Both pairs of base angles of an isosceles
trapezoid are supplementary.
True/False
• The diagonals of a rhombus bisect the angles of
the rhombus.
True/False
• If the diagonals of a quadrilateral are congruent,
but only one is the perpendicular bisector of the
other, then the quadrilateral is a kite.
True/False
• If the diagonals of a quadrilateral are congruent
and perpendicular then it is a square.
True/False
• The consecutive angles of a rectangle are
congruent and supplementary.
True/False
• The diagonals of a rectangle bisect the angles.
True/False
• A square is a rhombus with all angles congruent.
True/False
• Every rhombus is a square.
True/False
• It is not possible for a trapezoid to have three
congruent sides.
True/False
• Every square is a rectangle.
True/False
• A diagonal divides a square into two isosceles
right triangles.
True/False
• Opposite angles in a parallelogram are always
congruent.
Always/Sometimes/Never
• An equilateral polygon is equiangular.
Always/Sometimes/Never
• The diagonals of a kite are perpendicular
bisectors of each other.
Find the angle measures of x and y.
One exterior angle of a regular polygon
measures 10°.
- What is the measure of each interior angle?
- How many sides does the polygon have?
Find the measures of a, b and c.
Find the measures of x and y.
In the diagram below, the line segment with
a measure of 29 is the midsegment of the
trapezoid.
Find the measures of x, y and z.
Given: ABCD is a parallelogram and
Prove: AC and PQ bisect each other
QC  AP
Given: Quadrilateral SOAP with SP POA and SP  OA
Prove: SOAP is a parallelogram
P
S
A
O