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6th-8th Grade Geometry: 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!

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Question 1 1. If the pictured triangles are congruent, what reason can be given?

Question 2 2. In the pictured triangles, what reason can we use to explain that angle QPR is congruent to angle SPT?

Question 3 3. If triangle ACB is congruent to triangle YXZ, all of the following are true EXCEPT:

Question 4 4. In the pictured triangle, XV is an angle bisector. What is the length of XY?

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

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Question 6 6. If two angles of a triangle are congruent, then which of the following statements must be true?

Question 7 7. If triangle ABD is congruent to triangle CDB, CPCTC explains which of the following statements?

Question 8 8. How can we explain that the pictured triangles are congruent?

Question 9 9. If triangle ABC is congruent to triangle ADC, what must also be true?

Question 10 10. All of the following are conditional statements EXCEPT:

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

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

Question 13 13. The hypotenuse leg theorem is only applicable with which of the following types of triangles?

Question 14 14. Study the given diagram. Find the value of x, the distance between T and E.

Question 15 15. Find the measure of XZ:

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Question 16 16. The perpendicular bisector theorem states that if a point is on the perpendicular bisector of a segment, then it is:

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

Question 18 18. What additional information do you need to prove that triangle ABC is congruent to triangle DEF using the HL theorem?

Question 19 19. Which theorem can be used to establish congruence with the pictured triangles?

Question 20 20. If triangle MNO is congruent to triangle PQR, CPCTC explains which of the following statements?

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Question 21 21. Which theorem or postulate can be used to establish congruence with the pictured triangles?

Question 22 22. All of the following statements about the pictured triangle must be true, EXCEPT:

Question 23 23. The converse of a conditional statement:

Question 24 24. Which theorem can be used to establish congruence with the pictured triangles?

Question 25 25. The conclusion of a conditional statement:

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

Question 27 27. The hypotenuse angle theorem is only applicable with which of the following types of triangles?

Question 28 28. Find the measure of MN:

Question 29 29. If two sides of a triangle are congruent, then which of the following statements MUST be true?

Question 30 30. AD is a perpendicular bisector. Find the measure of AC:

6th-8th Grade Geometry: 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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