Geometry
Name:
Unit 3 Assessment
Date:
Part I: Multiple Choice. Solve each of the problems that follow. Show all work. Then,
choose the best answer to each question. Print the letter of that answer in the space
provided.
1. Which of the following is a regular polygon?
A)
B)
C)
D)
2. Which best describes the figure shown below?
A.
B.
C.
D.
A regular convex heptagon
An irregular convex heptagon
A regular concave heptagon
An irregular concave heptagon
3. What is the measure of each interior angle in a regular convex nonagon?
A. 40°
B. 140°
C. 180°
D. 1260°
4. What is the value of a?
A. 60
B. 71
C. 80
D. 120
5. For what value of x will the quadrilateral be a parallelogram?
A. 𝑥 = 4
B. 𝑥 = 5
C. 𝑥 = 6
D. 𝑥 = 7
6. What is the measure of Z in parallelogram WXYZ?
A. 18
B. 74
C. 106
D. 108
7. An artist designs a rectangular quilt piece with different types of ribbon that go from the
corner to the center of the quilt. The dimensions of the rectangle are 𝐴𝐵 = 10 inches and
𝐴𝐶 = 14 inches.
B
C
X
A
D
Find 𝐵𝑋.
A. 5 inches
B. 7 inches
C. 10 inches
D. 14 inches
8. In trapezoid PQRS, if YX is the midsegment, what could be the lengths of PQ and SR ?
A.
B.
C.
D.
4 cm and 8 cm
9 cm and 15 cm
17 cm and 31 cm
18 m and 30 m
9. The angles of a triangle are in a 3:4:5 ratio. Find the measure of the smallest angle of
the triangle.
A. 15˚
B. 30˚
C. 45˚
D. 60˚
10. The perimeter of a rectangle is 36 units. The ratio of the base to the height of the
rectangle is 2:7. What are the lengths of the sides of the rectangle?
A. 2 and 12 units
B. 4 and 14 units
C. 6 and 16 units
D. 8 and 28 units
11. An artist makes a scale drawing of a new lion enclosure at the zoo. The scale is
1
1 𝑖𝑛. : 25 𝑓𝑡. On the drawing, the length of the enclosure is 7 inches. What is the actual
4
length of the lion enclosure?
A. 7
1
feet
4
B. 8
1
feet
4
C. 181
1
feet
4
D. 2175 feet
2
feet long. At the same time, a
3
6-foot-tall person standing in line casts a shadow 2 feet long. What is the height of the
ride?
12. A free-fall ride at an amusement park casts a shadow 43
A. 21
5
feet
6
B. 65
1
feet
2
C. 98
1
feet
4
D. 131 feet
13. The scale of the park map is 1.5 cm:60 m. Which is the best estimate for the actual
distance between the horse stables and the picnic area?
A.
B.
C.
D.
21.4 m
90.0 m
168.0 m
288.0 m
14. Maya is making a miniature dinner table for her little sister. She wants the table top to
be similar to their real dinner table top.
2.5 m
9.5 cm
x
1.3 m
M iniature
Dining table top
Find the width of the miniature table top to the nearest tenth of a centimeter.
A. 0.2 cm
B. 0.3 cm
C. 4.9 cm
D. 18.3 cm
15. Find the value of x.
A. x = 22
B. x = 24
C. x = 26
D. x = 30
Part II: Open-ended. Show all work to answer each of the following questions. Place all
final answers on the answer sheet provided.
16. Find the measure of each angle of the quadrilateral shown below.
A
B
C
D
17. What are the values of x and y in parallelogram ABCD?
18. The figure shown below is a rhombus. What is the value of x?
19. In isosceles trapezoid ABCD, find 𝑚∠𝐵.
20. The scissor lift forms rhombus PQRS with PQ  (7b  5) meters and QR  (2b  0.5)
meters. If S is the midpoint of RT , what is the length of RT ?
Determine whether each set of triangles are similar. If so, write a similarity statement
and give a postulate or theorem to support your conclusion.
21.
22.
23.
24. On the map, 5th Ave., 6th Ave., and 7th Ave. are parallel. What is the length of Main St.
between 5th Ave. and 6th Ave.?
25. Pentagon ABCDE ~ LMNOP. Find the value of x and the measure of ∠𝐶.
150˚
94˚
72˚
86˚