Copyright

Discovering Geometry Chapter 4: Discovering and Proving Triangle Properties 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 two angles that measure 111° and 42°. What is the measurement of the third angle?

Question 2 2. What is the hypothesis in the following statement? 'If p is an even integer and q is an odd integer, then p + q is an odd integer.'

Question 3 3. Which theorem or postulate can be used to establish congruence with the pictured triangles?

Question 4 4. If triangle MNO is congruent to triangle PQR, CPCTC explains which of the following statements?

Question 5 5. If angle a is 30 degrees and angle d is 70 degrees, what is the measure of angle b?

Page 2

Question 6 6. A triangle has two angles that measure 21° and 54°. What is the measurement of the third angle?

Question 7 7. If angle a is 80 degrees, what is the measure of angle d?

Question 8 8. In the pictured triangle, AD is an angle bisector. What is the length of AC?

Question 9 9. Which of the following occurs with a direct proof?

Question 10 10. In the pictured triangles, what reason can we use to explain that angle QPR is congruent to angle SPT?

Page 3

Question 11 11. Which statement about the pictured triangle must be true?

Question 12 12. If angle a is 68 degrees and angle b is 37 degrees, what is the measure of angle c?

Question 13 13. Which theorem or postulate can be used to establish congruence with the pictured triangles?

Question 14 14. In the pictured triangle, FE is an angle bisector. What is the length of GE?

Question 15 15. If angle a is 66 degrees and angle b is 54 degrees, what is the measure of angle d?

Page 4

Question 16 16. In the pictured triangle, MS is an angle bisector. What is the length of SO?

Question 17 17. If the pictured triangles are congruent, what reason can be given?

Question 18 18. If the pictured triangles are congruent, what reason can be given?

Question 19 19. A triangle has two angles that measure 15° and 25°. What is the measurement of the third angle?

Question 20 20. Which of the following represents the angle bisector theorem for the pictured triangle?

Page 5

Question 21 21. In the pictured triangle, XV is an angle bisector. What is the length of XY?

Question 22 22. If triangle ABD is congruent to triangle CDB, CPCTC explains which of the following statements?

Question 23 23. If two angles of a triangle are congruent, then which of the following statements must be true?

Question 24 24. If angle a is 60 degrees, what is the measure of angle b?

Question 25 25. Which theorem or postulate can be used to establish congruence with the pictured triangles?

Page 6

Question 26 26. A triangle has two angles that measure 120° and 40°. What is the measurement of the third angle?

Question 27 27. All of the following statements could be proven with a direct proof EXCEPT:

Question 28 28. The interior angles of a triangle will always add up to what?

Question 29 29. All of the following statements about the pictured triangle must be true, EXCEPT:

Question 30 30. If the pictured triangles are congruent, what reason can be given?

Discovering Geometry Chapter 4: Discovering and Proving Triangle Properties 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!

Discovering Geometry An Investigative Approach: Online Help  /  Math Courses
Support