# GACE Math: Properties of Triangles Chapter Exam

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### Page 1

#### Question 1 1. If angle a is 30 degrees and angle d is 70 degrees, what is the measure of angle b?

#### Question 2 2. What is another word for the highest point on a triangle?

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Question 3
3.
Rectangle HYGT has a perimeter of 170 inches. If the length is 10*x* - 7 and the width is 6*x* + 12, how wide is the rectangle?

#### Question 4 4. If angle a is 60 degrees, what is the measure of angle b?

#### Question 5 5. What type of line segment is represented by the dotted line in the pictured triangle?

### Page 2

#### Question 6 6. Jeremy's goal is to jog around the neighborhood park four times. If the park has four sides and each side is 100 meters, how many meters will Jeremy jog?

#### Question 7 7. In the pictured triangle, what is side B, relative to angle x?

#### Question 8 8. Conclude whether triangle BEN is similar to triangle MAT.

#### Question 9 9. What is the area of the pictured rectangle?

#### Question 10 10. What type of triangle is pictured?

### Page 3

#### Question 11 11. If angle a is 80 degrees, what is the measure of angle d?

#### Question 12 12. What type of triangle is pictured?

#### Question 13 13. What is the name for the point where three angle bisectors meet?

#### Question 14 14. What type of triangle is pictured?

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Question 15
15.
If angle *a* is 68 degrees and angle *b* is 37 degrees, what is the measure of angle *c*?

### Page 4

#### Question 16 16. A triangle always has:

#### Question 17 17. If a right triangle has a hypotenuse of 8, what must the median measure?

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Question 18
18.
Triangle POX has a perimeter of 15 inches. Side PO is 2 less than *x*, an unknown number. Side OX is 2 greater than *x*, and side PX can be expressed as 2*x* - 5. Find the length of each side of triangle POX (in the order PO, OX, PX).

#### Question 19 19. Is triangle ABC similar to triangle DEF?

#### Question 20 20. In the pictured triangle, what is side A, relative to angle x?

### Page 5

#### Question 21 21. Determine if triangle VEZ is similar to triangle MAG.

#### Question 22 22. What is the altitude of this triangle?

#### Question 23 23. A flat screen television has a 50 inch diagonal and a height of 25 inches. How wide is the television?

#### Question 24 24. In the pictured triangle, which of the following lines is an altitude?

#### Question 25 25. A baseball diamond has 90 feet between each base. How far will the catcher (standing at home plate) throw the ball across the diagonal to the second baseman at 2nd base?

### Page 6

#### Question 26 26. A triangle has side lengths 0.3, 0.4, and 0.5. Do these side lengths form a Pythagorean Triple?

#### Question 27 27. Identify x and y in the pictured triangle.

#### Question 28 28. The Pythagorean Theorem is a special case of what?

#### Question 29 29. Which of the following is a right triangle?

#### Question 30 30. What type of triangle is pictured?

#### GACE Math: Properties of Triangles 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!