# NMTA Middle Grades Math: Similar Polygons Chapter Exam

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### Page 1

#### Question 1 1. What is the geometric mean of 2 and 4?

#### Question 2 2. If a triangle has sides of 6 and 8, what must the hypotenuse be for the triangle to be a right triangle?

#### Question 3 3. What is the altitude of this triangle?

#### Question 4 4. Two pentagons are similar. One pentagon has angle measurements of 76, 128, 119, 85, and 132. The other pentagon only has four listed angle measurements of 76, 119, 85, and 132. What is the measure of the missing angle?

#### Question 5 5. Which of the following is not in proportion to the ratio 12:20?

### Page 2

#### Question 6 6. If triangle A is similar to triangle B and triangle B is similar to triangle C and if the top angle of triangle C is equal to 45 degrees, what is the measure of the top angle of triangle B?

#### Question 7 7. Which of the following is proportional to the ratio 3:2?

#### Question 8 8. Find x.

####
Question 9
9.
Find the missing information.

x/4 = 9/12

#### Question 10 10. If rectangle 1 measures 4 by 5 inches and rectangle 2 measures 12 by 15 inches, how much bigger is rectangle 2 than rectangle 1?

### Page 3

####
Question 11
11.
Write a ratio for the number of red balls to blue balls.

Red balls = 10

Blue balls = 8

Green balls = 6

#### Question 12 12. Things are in proportion when what are equal to each other?

#### Question 13 13. To make hummingbird food, I need 4 cups of sugar to 1 cup of water. If I wanted to double that amount, how many cups of sugar would I need?

#### Question 14 14. If a right triangle has a hypotenuse of 8, what must the median measure?

#### Question 15 15. Which of the following are two similar polygons?

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####
Question 16
16.
Find the geometric mean.

4, 4, 4

#### Question 17 17. Which of the following is not a polygon?

#### Question 18 18. A particular pancake recipe calls for 3 cups of flour to 1 cup of milk. Keeping things in proportion, what is the ratio of flour to milk if you double this recipe?

#### Question 19 19. Polygon A is 4 times smaller than polygon B. If one side of polygon B measures 20 inches, what does the matching side of polygon A measure?

#### Question 20 20. Which of the following measurements always remains the same in similar polygons?

### Page 5

####
Question 21
21.
Write a ratio for the number of students who received an A to the number of students who received an F.

A Students = 3

B Students = 8

C Students = 2

D Students = 1

F Students = 2

#### Question 22 22. What line do you need to use the triangle proportionality theorem?

#### Question 23 23. Which of the following is the transitive property?

#### Question 24 24. Find x.

#### Question 25 25. Triangles and 1 and 2 are similar triangles. If triangle 1 has angles that measure 60, 30, and 90 respectively, what are the angle measurements of triangle 2?

### Page 6

#### Question 26 26. If square 1 is 5 times bigger than square 2, what is the measurement of one of the sides of square 1 if the sides of square 2 measure 2 inches?

#### Question 27 27. Which of the following tools is needed to draw similar polygons?

#### Question 28 28. Which of the following ratios is not proportional to 2:3?

#### Question 29 29. Corresponding angles of similar triangles are always what?

#### Question 30 30. Which of the following ratios is in proportion to the ratio 3:4?

#### NMTA Middle Grades Math: Similar Polygons Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!