FTCE Middle Grades Mathematics 5-9 (025): Practice & Study Guide  /  Math Courses

Test Prep Plan - Take a practice test

Take this practice test to check your existing knowledge of the course material. We'll review your answers and create a Test Prep Plan for you based on your results.
How Test Prep Plans work
1
Answer 50 questions
Test your existing knowledge.
2
View your test results
Based on your results, we'll create a customized Test Prep Plan just for you!
3
Study smarter
Study more effectively: skip concepts you already know and focus on what you still need to learn.

FTCE Middle Grades 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. Which of the following is the equation for the Pythagorean Theorem?

Question 2 2. The hypotenuse angle theorem is only applicable with which of the following types of triangles?

Question 3 3. Which of the following triangles will the Pythagorean Theorem work for?

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

Question 5 5. Which theorem can be used to establish congruence with the pictured triangles?

Page 2

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

Question 7 7. If triangle ACB is congruent to triangle YXZ, all of the following are true EXCEPT:

Question 8 8. If the leg of a 45-45-90 triangle is 19, approximately how long is the hypotenuse?

Question 9 9. The converse of the Pythagorean Theorem says what?

Question 10 10. What additional information do you need to prove that triangle ABC is congruent to triangle DEF using the HL theorem?

Page 3

Question 11 11. Find the shortest distance between a and b by drawing a line connecting them and using the Pythagorean Theorem.

Question 12 12. Which of the following is not a right triangle?

Question 13 13. What additional information do you need to prove that triangle ACD is congruent to triangle DBA using the HL theorem?

Question 14 14. If a right triangle has a hypotenuse of 8, what must the median measure?

Question 15 15. If the hypotenuse of a 30-60-90 triangle is 18, approximately how long is the short leg?

Page 4

Question 16 16. The Pythagorean Theorem is a special case of what?

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

Question 18 18. Which of the following is a right triangle?

Question 19 19. If the long leg of a 30-60-90 triangle is 23, approximately how long is the short leg?

Question 20 20. 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?

Page 5

Question 21 21. 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 22 22. If the hypotenuse of a 45-45-90 triangle is 31, approximately how long is the leg?

Question 23 23. Which theorem can be used to establish congruence with the pictured triangles?

Question 24 24. Which of the following is the law of cosines?

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

Page 6

Question 26 26. 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 27 27. Which of the following is true?

Question 28 28. If triangle MNO is congruent to triangle STR, what must also be true?

Question 29 29. If two sides of a right triangle measures 6 and 8 inches, what does the hypotenuse measure?

Question 30 30. Jerry wants to buy a TV online, but the ad for the TV he wants to buy does not say what the screen size is. He knows that TV screens are measured diagonally. This image shows the length and width of the screen, so he decides to use the Pythagorean Theorem to determine the diagonal screen size. What is the screen size of the TV that Jerry wants to buy (to the nearest inch)?

FTCE Middle Grades 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!

Support