# ORELA Middle Grades Math: Triangle Theorems & Proofs Chapter Exam

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

#### Question 2 2. Triangle HYV and triangle AYB are similar by the AA similarity theorem. What is the value of x?

#### Question 3 3. All of the following are conditional statements EXCEPT:

#### Question 4 4. If the pictured triangles are congruent, what reason can be given?

#### Question 5 5. Triangle ABC is congruent to triangle XYZ. What reason can we use to explain why angle A is congruent to angle X?

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

#### Question 7 7. Which theorem can be used to establish congruence with the pictured triangles?

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

#### Question 9 9. 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 10 10. The converse of a conditional statement:

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#### Question 11 11. The hypotenuse leg theorem is only applicable with which of the following types of triangles?

#### Question 12 12. The conclusion of a conditional statement:

#### Question 13 13. If the pictured triangles are congruent, what reason can be given?

#### Question 14 14. If two angles of a triangle are congruent, then which of the following statements must be true?

#### Question 15 15. In the pictured triangles, what reason can we use to explain that angle QPR is congruent to angle SPT?

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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. Which statement about the pictured triangle must be true?

#### Question 18 18. Which theorem or postulate can be used to establish congruence with the pictured triangles?

#### Question 19 19. The perpendicular bisector theorem states that if a point is on the perpendicular bisector of a segment, then it is:

#### Question 20 20. Brad places a mirror on the ground 10 ft. away from the base of a bush at a botanical garden. He walks back towards the bush until he can see the top of the bush in the mirror. If Brad is standing 4 ft. away from the mirror, and is 6 ft. tall, how tall is the bush?

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#### Question 21 21. The converse of a conditional statement:

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

#### Question 23 23. Which of the following represents the angle bisector theorem for the pictured triangle?

#### Question 24 24. If triangle ABC is congruent to triangle ADC, what must also be true?

#### Question 25 25. How can we explain that the pictured triangles are congruent?

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#### Question 26 26. If two sides of a triangle are congruent, then which of the following statements MUST be true?

#### Question 27 27. The converse of the perpendicular bisector theorem states that:

#### Question 28 28. What additional information do you need to be given to prove that triangle PQS is congruent to triangle SRP using the HA theorem?

#### Question 29 29. AD is a perpendicular bisector. Find the measure of AC:

#### Question 30 30. What additional information do you need to prove that triangle ABC is congruent to triangle DEF using the HL theorem?

#### ORELA Middle Grades 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!