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# FTCE Math: Right 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. The triangle below has an altitude of 10. The longer split of the hypotenuse is 12. What is the measurement of the shorter split of the hypotenuse?

#### Question 2 2. What is the Pythagorean Theorem and how is it used?

#### Question 3 3. What additional information do you need to prove that triangle ABC is congruent to triangle DEF using the HL theorem?

#### Question 4 4. Which theorem can be used to establish congruence with the pictured triangles?

#### Question 5 5. If the leg of a 45-45-90 triangle is 19, approximately how long is the hypotenuse?

### Page 2

#### Question 6 6. If the short leg of a 30-60-90 triangle is 6, approximately how long is the hypotenuse?

#### Question 7 7. The Pythagorean Theorem is a special case of what?

#### Question 8 8. Which of the following measurements produces a valid right triangle?

#### Question 9 9. If triangle ABC is congruent to triangle ADC, what must also be true?

#### Question 10 10. Which of the following triangles will the Pythagorean Theorem work for?

### Page 3

#### Question 11 11. If triangle MNO is congruent to triangle STR, what must also be true?

#### Question 12 12. Which of the following is the law of cosines?

#### Question 13 13. If two sides of a right triangle measures 6 and 8 inches, what does the hypotenuse measure?

#### Question 14 14. If the long leg of a 30-60-90 triangle is 23, approximately how long is the short leg?

#### Question 15 15. Which of the following is used to check whether a triangle is a right triangle or not?

### Page 4

#### Question 16 16. Which of the following is not a right triangle?

#### Question 17 17. Find the shortest distance between a and b by drawing a line connecting them and using the Pythagorean Theorem.

#### Question 18 18. 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 19 19. What is the altitude of this triangle?

#### Question 20 20. If triangle ABC is congruent to triangle RST, all of the following are true EXCEPT: (Remember to look very carefully at the triangles and mark the corresponding sides!)

### Page 5

#### Question 21 21. If the hypotenuse of a 45-45-90 triangle is 31, approximately how long is the leg?

#### Question 22 22. Who is credited with proving the Pythagorean Theorem?

#### Question 23 23. Which of the following is a right triangle?

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

#### Question 25 25. The hypotenuse leg theorem is only applicable with which of the following types of triangles?

### Page 6

#### Question 26 26. What additional information do you need to prove that triangle ACD is congruent to triangle DBA using the HL theorem?

#### Question 27 27. Which of the following is true?

#### Question 28 28. If a right triangle has a hypotenuse of 8, what must the median measure?

#### Question 29 29. The hypotenuse angle theorem is only applicable with which of the following types of triangles?

#### Question 30 30. You are standing at the point (2,3) on a graph. Which point is closer: (-1,2) or (4,6)?

#### FTCE Math: Right 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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