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High School Geometry: 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. A triangle has side lengths 0.3, 0.4, and 0.5. Do these side lengths form a Pythagorean Triple?

Question 2 2. Which of the following is not in proportion to the ratio 12:20?

Question 3 3. Find x.

Question 4 4. Corresponding angles of similar triangles are always what?

Question 5 5. If BD = 1, DC = 2, AB = 2, what must AC equal for line segment AD to be an angle bisector?

Page 2

Question 6 6. A right triangle has one leg that measures 7 inches, and the second leg measures 10 inches. How long is the hypotenuse?

Question 7 7. 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 8 8. 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 9 9. 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 10 10. Which of the following is not a right triangle?

Page 3

Question 11 11. Which of the following is proportional to the ratio 3:2?

Question 12 12. A right triangle has one leg that measures 13 centimeters, and the hypotenuse is 17 centimeters. How long is the missing leg?

Question 13 13. Which of the following is used to check whether a triangle is a right triangle or not?

Question 14 14.

Find the geometric mean.

4, 4, 4

Question 15 15. Which of the following tools is needed to draw similar polygons?

Page 4

Question 16 16. Which of the following is a right triangle?

Question 17 17. What is the altitude of this triangle?

Question 18 18. If a triangle has sides of 6 and 8, what must the hypotenuse be for the triangle to be a right triangle?

Question 19 19.

Find the missing information.

x/4 = 9/12

Question 20 20. If line segment AD is an angle bisector and AB=6, AC = 8, and BD = 3, what must DC equal?

Page 5

Question 21 21. Which of the following is the correct ratio for the angle bisector theorem for this triangle?

Question 22 22. 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 23 23. 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 24 24. 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 25 25. Which of the following ratios is in proportion to the ratio 3:4?

Page 6

Question 26 26.

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 27 27. Which of the following can the angle bisector theorem help you find?

Question 28 28. Find x.

Question 29 29. What line do you need to use the triangle proportionality theorem?

Question 30 30. Which of the following is the law of cosines?

High School 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!

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