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Name
CHAPTER
8
Date
Chapter Test
For use after Chapter 8
A. 9 + 180°
B. 7 + 180°
C. 11 + 180°
D. 9 + 360°
2. The sum of the exterior angles of a hexagon is 8c°. What is the value
Answers
Chapter Tests
1. What is the sum of the interior angles of a convex nonagon?
1.
2.
of c?
A. 75
B. 180
C. 135
D. 45
3. Solve for the value of z.
3.
4a.
4b.
31°
(3z)°
5.
(8z)°
70°
50°
4. A convex pentagon has angles of 100°, 130°, 7w°, 80°, and 4.5w°.
a. What is the sum of these interior angles?
6.
b. What is the value of w?
5. Solve for the values of w, x, y, and z in the parallelogram.
7.
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
17 1 z
y°
14
72°
w18
x°
13 1 2z
6. Two diagonals of a quadrilateral bisect each other. Which statement
must be true?
A. The quadrilateral is a rhombus.
B. The quadrilateral is a parallelogram.
C. The quadrilateral is a kite.
D. The quadrilateral is a square.
7. A pair of vertically opposite angles at the intersection of the diagonals
of a quadrilateral have measures of (5q 1 5)° and (6q 2 12)°. What is
the measure of q?
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Name
CHAPTER
Chapter Tests
8
Date
Chapter Test
continued
For use after Chapter 8
8. For what value of d is the quadrilateral a parallelogram?
Answers
8.
(13d 1 20)°
A. 5
9.
(19d)°
B. 10
C. 8
D. 11.9
9. For what value of ƒ is PQRS a parallelogram?
Q
10.
11.
R
12.
9f 2 8
13.
7f 1 3
P
11
A. }
16
2
B. }
11
S
11
C. }
2
16
D. }
11
10. A quadrilateral has four equal sides and 90° angles. What is the best
A. quadrilateral
B. parallelogram
C. rhombus
D. square
11. A quadrilateral has 2 pairs of equal sides and 2 pairs of equal angles.
What is the best description of this figure?
A. rhombus
B. rectangle
C. parallelogram
D. quadrilateral
For Exercises 12 and 13, select from the following conditions.
1. The diagonals bisect each other.
2. The diagonals are equal.
3. The quadrilateral has four equal angles.
4. The quadrilateral has two sets of equal angles.
5. The quadrilateral has four equal sides.
12. Which of the above conditions implies that a quadrilateral is a
parallelogram? Choose all that apply.
13. Which of the above conditions implies that a quadrilateral is a
rhombus? Choose all that apply.
112
Geometry
Benchmark Tests
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
description of the figure?
Name
CHAPTER
8
Date
Chapter Test
continued
For use after Chapter 8
D
Answers
Chapter Tests
Use the figure for Exercises 14–17.
14.
E
F
15.
32°
G
16.
H
17.
14. What is the measure of DFG?
A. 32°
B. 64°
C. 58°
D. 116°
C. 58°
D. 116°
C. 180°
D. 116°
18.
15. What is the measure of DFE?
A. 180°
B. 64°
16. What is the measure of EFG?
A. 32°
B. 64°
17. What is the measure of FHG?
A. 32°
B. 64°
19.
C. 58°
D. 116°
18. Given Q(5, 1), R(7, 3), S(1, 7), and T(2, 3), is QRST a trapezoid?
Explain.
19. Suppose LMNO is a trapezoid and L(0, 1), M(5, 1), N(6, 4), and
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
O(2, g). Find two possible values of g.
20. Find coordinates for point O so quadrilateral LMNO in Exercise 19
20.
21.
22.
is a parallelogram.
21. Which quadrilateral has exactly one pair of congruent angles?
23.
22. Name three quadrilaterals that each have exactly two pairs of
congruent angles.
23. Name two quadrilaterals that each have exactly four congruent
angles.
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