# HiSET Mathematics: Properties of Triangles Chapter Exam

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. What is the area of the pictured rectangle?

#### Question 2 2. In the pictured triangle, identify the altitude(s).

#### Question 3 3. A right triangle has one leg that measures 7 inches, and the second leg measures 10 inches. How long is the hypotenuse?

#### Question 4 4. What is the name for the point where three angle bisectors meet?

#### Question 5 5. In the pictured triangle, which of the following lines is an altitude?

### Page 2

#### Question 6 6. What type of line segment is represented by the dotted line in the pictured triangle?

#### Question 7 7. Conclude whether triangle BEN is similar to triangle MAT.

#### Question 8 8. What type of triangle is pictured?

####
Question 9
9.
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 10 10. What type of line segment is represented by the dotted line in the pictured triangle?

### Page 3

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

#### Question 13 13. In the pictured triangle, what is side A, relative to angle x?

#### Question 14 14. What is another word for the highest point on a triangle?

####
Question 15
15.
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).

### Page 4

#### Question 16 16. Josh claims that these triangles are similar by SSS. Do you agree or disagree with Josh?

#### Question 17 17. In the pictured triangle, what is side B, relative to angle x?

#### Question 18 18. What is it called when multiple lines meet at a single point?

#### Question 19 19. Which of the following is used to check whether a triangle is a right triangle or not?

#### Question 20 20. A triangle always has:

### Page 5

#### Question 21 21. What is the name for the point where three perpendicular bisectors meet?

#### Question 22 22. What is the name for the point where three median lines meet?

#### Question 23 23. If angle a is 60 degrees, what is the measure of angle b?

#### Question 24 24. Sergeant Ketchup's billiards room is 15 feet wide and 25 feet long. How many square feet is the room in total?

#### Question 25 25. Which of the following is the law of cosines?

### Page 6

#### Question 26 26. Joan is building a fence for her triangular garden. One side of the garden is 8 feet long, the second side is 10 feet long, and the third side is 12 feet long. If fencing costs $10 per foot, how much will Joan spend on fencing for her garden?

#### Question 27 27. A right triangle has one leg that measures 13 centimeters, and the hypotenuse is 17 centimeters. How long is the missing leg?

#### Question 28 28. 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 29 29. What type of triangle is pictured?

#### Question 30 30. What is the altitude of this triangle?

#### HiSET Mathematics: 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!