Download Chapter 8 Review

Name: _______________________________________________________ Date: ___________________ Period: ____
Geometry Concepts
Chapter 8 REVIEW
For questions 1–2, refer to the figure at the right.
1. Name a pair of nonconsecutive angles of quadrilateral ABCD.
A
B
2. Name a diagonal of quadrilateral ABCD.
C
D
3. Name a pair of consecutive sides of quadrilateral ABCD.
4. One way to prove that a quadrilateral is a parallelogram is to show that
A. both pairs of opposite angles are congruent.
B. it has one pair of congruent sides.
C. the diagonals are congruent.
D. it has one pair of parallel sides.
5. The diagonals are always perpendicular to each other in a
A. rectangle
B. parallelogram
C. trapezoid
D. rhombus
6. A square is not a
A. trapezoid
B. parallelogram
C. rhombus
D. rectangle
For question 7, refer to the figure at the right. EFGH is a quadrilateral. Show your work.
7. Find the value of x.
x = ________
8. Fill in the correct names of the figures in the following diagram.
Any four-sided figure
____________________
Two pair of parallel sides
One pair of parallel sides
____________________
____________________
Four right angles
Four congruent sides
_______________
_______________
Congruent sides and angles
Congruent legs and base angles
____________________
_______________ ______________
9. Find the measure of  T in quadrilateral RSTU if m  R = 75, m  S = x + 6, m  T = 2x - 4, and m  U = 145.
SHOW WORK. Sketch a picture to help.
m  T = _____________
For questions 10–11, refer to the figure at the right. Quadrilateral RSTU is a square.
10. If SU = 28, find RV.
RV = ______________
11. Find m  RVS = ______________
For question 12, refer to the figure at the right. Quadrilateral TUVW is a parallelogram.
12. Find the value of y and each angle in the parallelogram Show your work.
y  _____
mT  ____ mU  ____ mV  ____ mW  ____
For questions 13–17, refer to the figure at the right. Quadrilateral JKLM is a parallelogram.
40m
J
13. Find LM and KL.
36m
LM = _____________
A
KL = _____________
M
K
56
69
L
14. Find m  KJM.
m  KJM = _______________
15. Find m  JKL.
m  JKL = ______________
16. Suppose AM = 31. What is KM?
KM = ________________
17. Diagonal JL separates the parallelogram into two congruent triangles. Write a congruence statement for the two
triangles.
 ____________

 ____________
For questions 18-19, refer to the figure at the right. Quadrilateral UVWX is a rectangle.
18. Find the value of x if XV = 18 and UW = 2x + 6. Show your work.
x = _______________
19. If mXUR = 68, find the measures of the other angles listed below. Show your work.
mUWX = _______________
mUXR = _______________
mURV = _______________
For question 20, refer to the figure at the right. Quadrilateral WXYZ is a rhombus.
20. Given that WX = 21 feet and m  ZWV = 62. Determine the measures of the other 3 sides and the other 3 angles.
Show your work.
SIDES:
WZ = ________
XY = ________
ANGLES:
m  WXY = ________ m  XYZ = ________
YZ = ________
m  YZW = ________
For Question 21, refer to the figure at the right. Quadrilateral EFGH is an isosceles trapezoid.
21. If AB is the median, find the values of w, x, y, and z. Show your work.
w = _____________
y = ______________
x = _____________
z = ______________
For question 22, refer to the figure at the right. Quadrilateral EFGH is an isosceles trapezoid.
22. If AB is the median, find the length of the segments below. Show your work.
EF = _________________
AE = __________
GF = __________