# HiSET Mathematics: Triangle Theorems and Proofs Chapter Exam

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### Page 1

#### Question 1 1. Which theorem or postulate can be used to establish congruence with the pictured triangles?

#### Question 2 2. Which theorem can be used to establish congruence with the pictured triangles?

#### Question 3 3. The hypotenuse angle theorem is only applicable with which of the following types of triangles?

#### Question 4 4. You are given that angle B and E are right angles and that the hypotenuses of the triangles are congruent. Which of these is additional information that will help you prove that triangle ABC is congruent to triangle DEF using the HA theorem?

#### Question 5 5. If triangle ABD is congruent to triangle CDB, CPCTC explains which of the following statements?

### Page 2

#### Question 6 6. What additional information do you need to prove that triangle ABC is congruent to triangle DEF using the HL theorem?

#### Question 7 7. If the pictured triangles are congruent, what reason can be given?

#### Question 8 8. The hypothesis of a conditional statement:

#### Question 9 9. Which theorem can be used to establish congruence with the pictured triangles?

#### Question 10 10. Which theorem can be used to establish congruence with the pictured triangles?

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#### Question 11 11. Triangle ABC is congruent to triangle XYZ. What reason can we use to explain why angle A is congruent to angle X?

#### Question 12 12. Which theorem or postulate can be used to establish congruence with the pictured triangles?

#### Question 13 13. How can we explain that the pictured triangles are congruent?

#### Question 14 14. The conclusion of a conditional statement:

#### Question 15 15. If triangle MNO is congruent to triangle PQR, CPCTC explains which of the following statements?

### Page 4

#### Question 16 16. Which theorem or postulate can be used to establish congruence with the pictured triangles?

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

#### Question 18 18. If triangle ABC is congruent to triangle RST, all of the following are true EXCEPT: (Remember to look very carefully at the triangles!)

#### Question 19 19. The hypotenuse leg theorem is only applicable with which of the following types of triangles?

#### Question 20 20. If triangle ACB is congruent to triangle YXZ, all of the following are true EXCEPT:

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#### Question 21 21. In the pictured triangles, what reason can we use to explain that angle QPR is congruent to angle SPT?

#### Question 22 22. You want to try to prove that triangles PQS and PRS are congruent using the HA theorem. You are given that angle P and angle S are congruent and the triangles share a hypotenuse which means the hypotenuses are congruent. What additional information do you need in order to use the HA theorem?

#### Question 23 23. The converse of a conditional statement:

#### Question 24 24. In an isosceles triangle, which of the following are congruent?

#### Question 25 25. If the pictured triangles are congruent, what reason can be given?

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#### Question 26 26. In the pictured triangle, FE is an angle bisector. What is the length of GE?

#### Question 27 27. Which of the following represents the angle bisector theorem for the pictured triangle?

#### Question 28 28. If triangle ABC is congruent to triangle ADC, what must also be true?

#### Question 29 29. What additional information do you need to prove that triangle ACD is congruent to triangle DBA using the HL theorem?

#### Question 30 30. If triangle MNO is congruent to triangle STR, what must also be true?

#### HiSET Mathematics: Triangle Theorems and Proofs 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!