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NMTA Math: Triangle Theorems & Proofs 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. Which statement about the pictured triangle must be true?

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. All of the following are conditional statements EXCEPT:

Question 5 5. If the pictured triangles are congruent, what reason can be given?

Page 2

Question 6 6. The hypotenuse leg theorem is only applicable with which of the following types of triangles?

Question 7 7. All of the following statements about the pictured triangle must be true, EXCEPT:

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

Question 9 9. AD is a perpendicular bisector. Find the measure of AC:

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

Page 3

Question 11 11. In an isosceles triangle, which of the following are congruent?

Question 12 12. What additional information do you need to prove that triangle ABC is congruent to triangle DEF using the HL theorem?

Question 13 13. The converse of a conditional statement:

Question 14 14. If triangle ABC is congruent to triangle RST, all of the following are true EXCEPT: (Remember to look very carefully at the triangles and mark the corresponding sides!)

Question 15 15. If the pictured triangles are congruent, what reason can be given?

Page 4

Question 16 16. If the pictured triangles are congruent, what reason can be given?

Question 17 17. In the pictured triangle, FE is an angle bisector. What is the length of GE?

Question 18 18. In the pictured triangle, XV is an angle bisector. What is the length of XY?

Question 19 19. If triangle ABC is congruent to triangle ADC, what must also be true?

Question 20 20. Triangle ABC is congruent to triangle XYZ. What reason can we use to explain why angle A is congruent to angle X?

Page 5

Question 21 21. If triangle ACB is congruent to triangle YXZ, all of the following are true EXCEPT:

Question 22 22. If two angles of a triangle are congruent, then which of the following statements must be true?

Question 23 23. The hypothesis of a conditional statement:

Question 24 24. If triangle MNO is congruent to triangle STR, what must also be true?

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

Page 6

Question 26 26. Which theorem or postulate can be used to establish congruence with the pictured triangles?

Question 27 27. What additional information do you need to prove that triangle ACD is congruent to triangle DBA using the HL theorem?

Question 28 28. If triangle ABD is congruent to triangle CDB, CPCTC explains which of the following statements?

Question 29 29. Which theorem can be used to establish congruence with the pictured triangles?

Question 30 30. If two sides of a triangle are congruent, then which of the following statements MUST be true?

NMTA Math: Triangle Theorems & 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!

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