Download Name: Geometry Date: Hour:_____ Chapter 8 Review Using only

Name: ________________________________
Geometry
Date: _______________________ Hour:_____
Chapter 8 Review
Using only the information labeled, give the most specific name possible for each figure. Explain your reasoning.
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10) In quadrilateral RSTU,∠ R,∠ T, and∠ U are right angles, and RS=ST. What is the most specific name
for quadrilateral RSTU? Explain. Include a sketch.
List each type of quadrilateral—parallelogram, rectangle, rhombus, and square—for which the statement is always
true. (List all that apply.)
11) It is equilateral.
12) Its interior angles are all right angles.
13) The diagonals are congruent.
14) Opposite sides are parallel.
The sum of the measures of the interior angles of a convex regular polygon is 39600.
15) Classify the polygon by the number of sides.
16) What is the measure of each interior angle?
17) Find the measure of each interior and exterior angle of a regular pentagon.
Interior Angle Measure : ________
Exterior Angle Measure: ________
Find the values of x and y. Then classify the quadrilateral using the most specific name possible.
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Find the value of x.
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Find the value of each variable in the parallelogram.
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For what value of x is the quadrilateral a parallelogram?
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Is there enough information to determine whether the quadrilateral is a parallelogram? How do you know?
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In parallelogram PQRS, PQ = 5 centimeters, QR = 10 centimeters, and m  PQR = 360.
35) Sketch PQRS.
36) Find and label all of its side lengths
and interior angle measures.
37) The perimeter of parallelogram EFGH is 16 inches. If EF is 5 inches, find the lengths of all the other sides of EFGH.
Draw parallelogram EFGH:
Side Length: ____________________
38)
The diagonals of a rhombus are 10 centimeters and 24 centimeters. Use Pythagoreans Theorem to find the
length of a side. (Hint: Draw a picture!)
Use the diagram to the below of a recycling container. One end of the container is an isosceles trapezoid with FG
parallel to JH and m∠ F= 790.
39) Find m  G = ____ , m  H = ____ , and m  J = ____.
40 a) Sketch trapezoid FGHJ’s midsegment.
b) If the midsegment is 16.5 inches long and FG is 19 inches long, find JH.
41) In trapezoid WXYZ, WX is parallel to YZ , and YZ = 4.25 centimeters. The midsegment of trapezoid WXYZ is 2.75
centimeters long. Find WX. Sketch a picture and label all parts.
Sketch:
WX = _____