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WEST Middle Grades Mathematics (203): Practice & Study Guide  /  Math Courses

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WEST Middle Grades 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. In the pictured triangle, AD is an angle bisector. What is the length of AC?

Question 2 2. In the pictured triangle, FE is an angle bisector. What is the length of GE?

Question 3 3. If two sides of a triangle are congruent, then which of the following statements MUST be true?

Question 4 4. The converse of a conditional statement:

Question 5 5. 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?

Page 2

Question 6 6. Find the measure of XZ:

Question 7 7. AD is a perpendicular bisector. Find the measure of AC:

Question 8 8. What additional information do you need to prove that triangle ABC is congruent to triangle DEF using the HL theorem?

Question 9 9. If triangle MNO is congruent to triangle PQR, CPCTC explains which of the following statements?

Question 10 10. The converse of a conditional statement:

Page 3

Question 11 11. Study the given diagram. Find the value of x, the distance between T and E.

Question 12 12. How can we explain that the pictured triangles are congruent?

Question 13 13. Which theorem or postulate can be used to establish congruence with the pictured triangles?

Question 14 14. The conclusion of a conditional statement:

Question 15 15. 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?

Page 4

Question 16 16. 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 17 17. Which theorem or postulate can be used to establish congruence with the pictured triangles?

Question 18 18. Triangle ABC is congruent to triangle XYZ. What reason can we use to explain why angle A is congruent to angle X?

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

Question 20 20. Which theorem can be used to establish congruence with the pictured triangles?

Page 5

Question 21 21. All of the following statements about the pictured triangle must be true, EXCEPT:

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

Question 23 23. 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 24 24. In the pictured triangle, XV is an angle bisector. What is the length of XY?

Question 25 25. If two angles of a triangle are congruent, then which of the following statements must be true?

Page 6

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

Question 27 27. In an isosceles triangle, which of the following are congruent?

Question 28 28. The converse of the perpendicular bisector theorem states that:

Question 29 29. Which statement about the pictured triangle must be true?

Question 30 30. The perpendicular bisector theorem states that if a point is on the perpendicular bisector of a segment, then it is:

WEST 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!

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