SBA Math - Grade 8: 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. In an isosceles triangle, which of the following are congruent?

Question 2 2. Greg is standing next to a 40 ft. tree. The sun casts a 5 ft. shadow of Greg, who is 6.4 ft. tall. How long is the tree's shadow?

Question 3 3. In the pictured triangle, XV is an angle bisector. What is the length of XY?

Question 4 4. What additional information do you need to be given to prove that triangle PQS is congruent to triangle SRP using the HA theorem?

Question 5 5. All of the following are conditional statements EXCEPT:

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Question 6 6. The converse of a conditional statement:

Question 7 7. The converse of the perpendicular bisector theorem states that:

Question 8 8. Which theorem can be used to establish congruence with the pictured triangles?

Question 9 9. The perpendicular bisector theorem states that if a point is on the perpendicular bisector of a segment, then it is:

Question 10 10. Triangle HYV and triangle AYB are similar by the AA similarity theorem. What is the value of x?

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Question 11 11. The AAS theorem requires which of the following to be congruent?

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

Question 13 13. The hypothesis of a conditional statement:

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

Question 15 15. Which theorem can be used to establish congruence with the pictured triangles?

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Question 16 16. What additional information do you need to prove that triangle ABC is congruent to triangle DEF using the HA theorem?

Question 17 17. Brad places a marker on the ground 10 ft. away from the base of a tree at a botanical garden. He walks back towards the tree until he is standing 4 ft. away from the marker, and he is 6 ft. tall. Assuming that the top of Brad's head, the top of the tree, and the marker form two simliar triangles, how tall is the tree?

Question 18 18. If two angles of a triangle are congruent, then which of the following statements must be true?

Question 19 19. If triangle ABC is congruent to triangle RST, all of the following are true EXCEPT:

Question 20 20. Find the measure of XZ:

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Question 21 21. If two sides of a triangle are congruent, then which of the following statements MUST be true?

Question 22 22. If the pictured triangles are congruent, what reason can be given?

Question 23 23. Triangle ABC is congruent to triangle XYZ. What reason can we use to explain why angle A is congruent to angle X?

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

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

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Question 26 26. If the pictured triangles are congruent, what reason can be given?

Question 27 27. AD is a perpendicular bisector. Find the measure of AC:

Question 28 28. The conclusion of a conditional statement:

Question 29 29. If the pictured triangles are congruent, what reason can be given?

Question 30 30. Which statement about the pictured triangle must be true?

SBA Math - Grade 8: 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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