# 6th-8th Grade Geometry: Similar Polygons Chapter Exam

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#### Question 1 1. 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 2 2. We have a group of triangles: Triangle A, triangle B, triangle C, triangle D, and triangle E. If triangle A is similar to triangle C and triangle C is similar to triangle E, what are the two triangles triangle A is similar to?

#### Question 3 3. If an angle in polygon A measures 65 degrees, what does the matching angle in polygon B measure? Polygons A and B are similar polygons.

#### Question 4 4. What line do you need to use the triangle proportionality theorem?

#### Question 5 5. To make hummingbird food, I need 4 cups of water to 1 cup of sugar. If I wanted to double that amount, how many cups of water do I need?

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#### Question 6 6. Which of the following ratios is in proportion to the ratio 3:4?

#### Question 7 7. Find x.

#### Question 8 8. Find x.

#### Question 9 9. Which of the following is not in proportion to the ratio 12:20?

#### Question 10 10. What is the geometric mean of 2 and 4?

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#### Question 11 11. The triangle below has an altitude of 10. The longer split of the hypotenuse is 12. What is the measurement of the shorter split of the hypotenuse?

####
Question 12
12.
Find the geometric mean.

5, 4, 9, 1, 5, 7, 8

#### Question 13 13. Which of the following measurements always remains the same in similar polygons?

#### Question 14 14. 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?

#### Question 15 15. What is the altitude of this triangle?

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#### Question 16 16. 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 17 17. Which of the following tools is needed to draw similar polygons?

#### Question 18 18. We have a group of triangles: Triangle A, triangle B, triangle C, triangle D, and triangle E. We are told that triangle B is similar to triangle D and triangle D is similar to triangle A. Which three triangles are similar to each other?

#### Question 19 19. The geometric mean gives you the average rate of growth for growth that is what?

#### Question 20 20. Which of the following are two similar polygons?

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#### Question 21 21. Which of the following is used to check whether a triangle is a right triangle or not?

#### Question 22 22. Which of the following ratios is not proportional to 2:3?

#### Question 23 23. 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 24 24. Which of the following is proportional to the ratio 3:2?

#### Question 25 25. If a triangle has sides of 6 and 8, what must the hypotenuse be for the triangle to be a right triangle?

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####
Question 26
26.
Find the missing information.

x/4 = 9/12

#### Question 27 27. Find x

#### Question 28 28. If a right triangle has a hypotenuse of 8, what must the median measure?

#### Question 29 29. Which of the following is not a polygon?

####
Question 30
30.
Write a ratio for the number of red balls to blue balls.

Red balls = 10

Blue balls = 8

Green balls = 6

#### 6th-8th Grade Geometry: 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!