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# FTCE Middle Grades Math: Similar & Congruent Triangle 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. If the pictured triangles are congruent, what reason can be given?

#### Question 2 2. What is the name for the point where three perpendicular bisectors meet?

#### Question 3 3. Which statement about the pictured triangle must be true?

#### Question 4 4. Given triangles DAR and KMR. What is the value of y?

#### Question 5 5. Which of the following represents the angle bisector theorem for the pictured triangle?

### Page 2

#### Question 6 6. If triangle A is similar to triangle B and triangle B is similar to triangle C and if the top angle of triangle C is equal to 45 degrees, what is the measure of the top angle of triangle B?

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

#### Question 8 8. 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 9 9. What is it called when multiple lines meet at a single point?

#### Question 10 10. We have a group of triangles: Triangle A, triangle B, triangle C, triangle D, and triangle E. We are told that triangle B is similar to triangle D and triangle D is similar to triangle A. Which three triangles are similar to each other?

### Page 3

#### Question 11 11. If two sides of a triangle are congruent, then which of the following statements MUST be true?

#### Question 12 12. If the pictured triangles are congruent, what reason can be given?

#### Question 13 13. Josh claims that these triangles are similar by SSS. Do you agree or disagree with Josh?

#### Question 14 14. In the pictured triangle, FE is an angle bisector. What is the length of GE?

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

### Page 4

#### Question 16 16. Find x.

#### Question 17 17. Determine if triangle VEZ is similar to triangle MAG.

#### Question 18 18. Corresponding angles of similar triangles are always what?

#### Question 19 19. Is triangle ABC similar to triangle DEF?

#### Question 20 20. Find the measure of XZ:

### Page 5

#### Question 21 21. In the pictured triangle, AD is an angle bisector. What is the length of AC?

#### Question 22 22. Conclude whether triangle BEN is similar to triangle MAT.

#### Question 23 23. AD is a perpendicular bisector. Find the measure of AC:

#### Question 24 24. Study the given diagram. Find the value of x, the distance between T and E.

#### Question 25 25. Find x.

### Page 6

#### Question 26 26. Find x

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

#### Question 28 28. Mary claims that the triangles below are similar by AA. Do you agree or disagree with Mary?

#### Question 29 29. What is the name for the point where three angle bisectors meet?

#### Question 30 30. If the pictured triangles are congruent, what reason can be given?

#### FTCE Middle Grades Math: Similar & Congruent Triangle 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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