# TExES Core Subjects EC-6: Triangles, Theorems & Proofs Chapter Exam

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#### Question 1 1. If triangle MNO is congruent to triangle PQR, CPCTC explains which of the following statements?

#### Question 2 2. How can we explain that the pictured triangles are congruent?

#### Question 3 3. In the pictured triangle, FE is an angle bisector. What is the length of GE?

#### Question 4 4. The conclusion of a conditional statement:

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

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#### Question 6 6. What additional information do you need to prove that triangle ACD is congruent to triangle DBA using the HL theorem?

#### Question 7 7. In the pictured triangle, AD is an angle bisector. What is the length of AC?

#### Question 8 8. Which theorem or postulate can be used to establish congruence with the pictured triangles?

#### Question 9 9. If the pictured triangles are congruent, what reason can be given?

#### Question 10 10. Which theorem or postulate can be used to establish congruence with the pictured triangles?

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#### Question 11 11. What additional information do you need to prove that triangle ABC is congruent to triangle DEF using the HA theorem?

#### Question 12 12. If triangle ABC is congruent to triangle ADC, what must also be true?

#### Question 13 13. If the pictured triangles are congruent, what reason can be given?

#### Question 14 14. Which theorem can be used to establish congruence with the pictured triangles?

#### Question 15 15. The converse of a conditional statement:

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#### Question 16 16. Find the measure of MN:

#### Question 17 17. Triangle ABC is congruent to triangle XYZ. What reason can we use to explain why angle A is congruent to angle X?

#### Question 18 18. In the pictured triangle, XV is an angle bisector. What is the length of XY?

#### Question 19 19. Which theorem or postulate can be used to establish congruence with the pictured triangles?

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

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#### Question 21 21. The hypotenuse angle theorem is only applicable with which of the following types of triangles?

#### Question 22 22. The converse of a conditional statement:

#### Question 23 23. The converse of the perpendicular bisector theorem states that:

#### Question 24 24. If two angles of a triangle are congruent, then which of the following statements must be true?

#### Question 25 25. If two sides of a triangle are congruent, then which of the following statements MUST be true?

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#### Question 26 26. In the pictured triangle, MS is an angle bisector. What is the length of SO?

#### Question 27 27. The hypothesis of a conditional statement:

#### Question 28 28. All of the following statements about the pictured triangle must be true, EXCEPT:

#### Question 29 29. The perpendicular bisector theorem states that if a point is on the perpendicular bisector of a segment, then it is:

#### Question 30 30. All of the following are conditional statements EXCEPT:

#### TExES Core Subjects EC-6: Triangles, 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!