2. Plane Geometry and Similarity Unit Test
Name _____________________________________
Date ____________________________ Pd ______
Unit: Plane Geometry & Similarity
Test
Plane Geometry and Similarity Unit Test
Solve the problems below. Be sure to show your thinking.
1. A circle has a diameter of 16 inches. Which formula represents how to find the area of the circle?
A. A = 16 ∙ π B. A = π ∙ 82
C. A = π ∙ D. A = 2∙π ∙ 8
A hula hoop measures 14 inches from the
center to the outside. What is the distance around the hula hoop?
A in
B in
C in
D in
3. Find the area of the circle below.
____________________
4. The two trapezoids below are similar. What is the length of EF?
5. Mr. Hawkins is covering a wall with wallpaper. The room measures 14 feet by 12 feet in a rectangular shape. Each square foot of wallpaper costs $ What is the cost of adding wallpaper to the room?
6. Troy made a scale drawing of the Statue of Liberty which has an actual height of 305 feet. He decides to use a scale in which 1 inch represents 25 feet. What is the height in inches of Troy’s drawing?
7. A retail shop is replacing their flooring with new tile. New tile will go in the shaded area below. Determine the total square feet of tile needed to complete the job.
8. A square has a side length of 6 inches. It is enlarged and the new side length is 18 inches. What is the scale factor? B
C D
24 cm
3 in A B
7.5 cm G H F x E D C
30 cm
20 ft
10 ft
7 ft
18 ft

3. Solve the problems below. Be sure to show your thinking.
9. Kim drew a map of the Mississippi River. The scale was 5 centimeters represents 120 miles. The actual length of the Mississippi River is 2,320 miles. Approximately what is the length in centimeters of the Mississippi River on the map?
A. 19 cm B. 11,600 cm
C. 97 cm D cm
10. The circumference of a tire is 96 inches. Determine the radius of the tire. Use 3 for π.
____________________
11. Mr. Smith is painting the wall but not the door. A gallon of paint will cover 200 square feet. How many gallons of paint will Mr. Smith need to purchase?
12. Which of the following equations can be used to find the missing angle, x, in the triangle below?
A. x + 84 = 180
B. x + 84 = 360
C. x + 42 = 90
D. x + 42 = 180
13. Figure ABCD is similar to figure WXYZ. Which proportion must be true for these figures?
A. AB BC = ZW WZ B. BD DC = ZY XY
C. AB DC = WX ZY D. DA ZY = CD XY
14. How many square meters are enclosed in the track?
15. Two boxes of tissues are similar in shape and size. The larger tissue box is dilated by a scale factor of 0.5 to create the smaller tissue box. What are the measurements of the smaller tissue box?
A. y = 8 in, z = 4.5 in
B. x = 3.75 in, y = 8 in
C. x = 4.5 in, y = 4.5 in
D. y = 8 in, z = 3.75 in xo
3 ft
42o
42o
12 ft
7 ft
18 ft W X Y Z A B C D
40 m
60 m x
9 in y z
©Maneuvering the Middle LLC, 2017
16 in
7.5 in