Geometry Concepts Chapter 8 REVIEW

Name:_______________________________ Period ______ Date _________________
Geometry Concepts
Chapter 8 REVIEW
For Questions 1–2, refer to the figure at the right. Choose the correct answer by circling it.
1. Which is a pair of nonconsecutive angles of quadrilateral ABCD?
A. ∠ A and ∠ B B. ∠ B and ∠ D
C. ∠ C and _ ∠ D D. ∠ A and ∠ D
A
B
2. Which segment is a diagonal of quadrilateral ABCD?
A. AB B. BC
C. DA D. AC
D
C
For Question 3, refer to the figure at the right. EFGH is a quadrilateral.
3. Find the value of x. SHOW WORK!
E
x°
x = ____________
G
4. Find the measure of ∠ G in quadrilateral EFGH if m ∠ E = 75,
m ∠ F = x + 6, m ∠ G = 2x - 4, and m ∠ H = 145.
SHOW WORK!
Draw a picture and label it HERE!
H
82°
105°
114°
F
m ∠ G = _____________
For Questions 5-7, choose the correct answer by circling it.
5. 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.

Name:_______________________________ Period ______ Date _________________
6. The diagonals are always perpendicular to each other in a
A. rectangle. B. parallelogram.
C. trapezoid. D. rhombus.
7. A square is not a
A. trapezoid. B. parallelogram.
C. rhombus. D. rectangle
For Questions 8–12, refer to the figure at the right. Quadrilateral JKLM is a parallelogram.
8. Find LM and KL.
J
40m
K
LM = _____________
36m
A
KL = _____________
9. Find m ∠ KJM. SHOW WORK!
M
56° 69°
L
m ∠ KJM = _______________
10. Find m ∠ JKL. SHOW WORK!
m ∠ JKL = ______________
11. Suppose AM = 31. What is KM? SHOW WORK!
KM = ________________
12. Diagonal JL separates the parallelogram into two congruent triangles. Write a congruence
statement for the two triangles.
∆ ____________
≅ ∆ ____________

Name:_______________________________ Period ______ Date _________________
For Questions 13–14, refer to the figure at the right. Quadrilateral RSTU is a square.
13. If SU = 28, find RV. SHOW WORK!
U
T
RV = ______________
V
14. Find m ∠ RVS.
m ∠ RVS = ______________
R
S
For Question 15, refer to the figure at the right. Quadrilateral RSTU is a rhombus.
15. Given that WX = 21 feet and m ∠ ZWX = 62. Determine
the measures of the other 3 sides and the other 3 angles.
SHOW WORK!
W
X
V
Z
SIDES:
WZ = ________ XY = ________ YZ = ________
ANGLES: m ∠ WXY = ________ m ∠ XYZ = ________ m ∠ YZW = ________
Y
For Questions 16-17, refer to the figure at the right. Quadrilateral RSTU is a rectangle.
16. Find the value of x if XV = 18 and UW = 2x + 6.
SHOW WORK!
x = _______________
U
V
17. If m∠XUR = 68, find the measures of the
other angles listed below.
SHOW WORK!
X
R
W
m∠UWX = _______________ m∠UXR = _______________ m∠URV = _______________

Name:_______________________________ Period ______ Date _________________
For Question 18, refer to the figure at the right. Quadrilateral EFGH is an isosceles trapezoid.
18. If AB is the median, find the values of w, x, y, and z.
SHOW WORK!
A
E
115°
21 in.
w
x°
F
B
w = _____________
H
y° z°
37 in.
G
x = _____________ y = ______________ z = ______________
For Question 19, refer to the figure at the right. Quadrilateral EFGH is an isosceles trapezoid.
19. If AB is the median, find the length of the segments
below.
SHOW WORK!
H
10 in.
18 in. G
A
15 in.
B
EF = _________________
E
F
AE = __________
GF = __________
20. 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
_______________ ______________