FTCE Mathematics 6-12 (026): Practice & Study Guide  /  Math Courses

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FTCE 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. Find x.

Question 2 2. All of the following statements about the pictured triangle must be true, EXCEPT:

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

Question 4 4. Find x.

Question 5 5. 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?

Page 2

Question 6 6. What is the name for the point where three altitude lines meet?

Question 7 7. We have a group of triangles: Triangle A, triangle B, triangle C, triangle D, and triangle E. If triangle A is similar to triangle C and triangle C is similar to triangle E, what are the two triangles triangle A is similar to?

Question 8 8. In the pictured triangle, AD is an angle bisector. What is the length of AC?

Question 9 9. Given triangles DAR and KMR. What is the value of y?

Question 10 10. Which statement about the pictured triangle must be true?

Page 3

Question 11 11. Determine if triangle VEZ is similar to triangle MAG.

Question 12 12. 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 13 13. What line do you need to use the triangle proportionality theorem?

Question 14 14. AD is a perpendicular bisector. Find the measure of AC:

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

Page 4

Question 16 16. In the pictured triangle, XV is an angle bisector. What is the length of XY?

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

Question 18 18. In the pictured triangle, FE is an angle bisector. What is the length of GE?

Question 19 19. 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?

Question 20 20. What is the name for the point where three perpendicular bisectors meet?

Page 5

Question 21 21. Study the given diagram. Find the value of x, the distance between T and E.

Question 22 22. The AAS theorem requires which of the following to be congruent?

Question 23 23. Conclude whether triangle BEN is similar to triangle MAT.

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

Question 25 25. What is the name for the point where three angle bisectors meet?

Page 6

Question 26 26. What is the name for the point where three median lines meet?

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

Question 28 28. Which of the following represents the angle bisector theorem for the pictured triangle?

Question 29 29. Mary claims that the triangles below are similar by AA. Do you agree or disagree with Mary?

Question 30 30. What is it called when multiple lines meet at a single point?

FTCE 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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