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GACE Middle Grades Math: Similar Polygons Chapter Exam

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!

Page 1

Question 1 1. Find x.

Question 2 2. 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 3 3. Which of the following measurements always remains the same in similar polygons?

Question 4 4. Find x

Question 5 5. Which of the following tools is needed to draw similar polygons?

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. 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 8 8. Which of the following is proportional to the ratio 3:2?

Question 9 9. 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 10 10.

Find the geometric mean.

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

Page 3

Question 11 11. Which of the following are two similar polygons?

Question 12 12. If a right triangle has a hypotenuse of 8, what must the median measure?

Question 13 13. 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 14 14. What line do you need to use the triangle proportionality theorem?

Question 15 15. Which of the following is the transitive property?

Page 4

Question 16 16. Which of the following is used to check whether a triangle is a right triangle or not?

Question 17 17. 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?

Question 18 18. Which of the following is not in proportion to the ratio 12:20?

Question 19 19. Things are in proportion when what are equal to each other?

Question 20 20.

Find the missing information.

x/4 = 9/12

Page 5

Question 21 21.

Find the geometric mean.

4, 4, 4

Question 22 22. 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?

Question 23 23. The geometric mean gives you the average rate of growth for growth that is what?

Question 24 24. 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 25 25. What is the geometric mean of 2 and 4?

Page 6

Question 26 26. Corresponding angles of similar triangles are always what?

Question 27 27. Which of the following is not a polygon?

Question 28 28. What numbers besides zero cannot be used in geometric mean calculations?

Question 29 29. What is the altitude of this triangle?

Question 30 30. Find x.

GACE 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!

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