Big Ideas Math Geometry Chapter 6: Relationships Within Triangles 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 are the correct steps to proving a statement using indirect proof?

Question 2 2. Which of the following is NOT a use of the perpendicular bisector?

Question 3 3. Which of the following statements are true?

Question 4 4. What is the name for the point where three perpendicular bisectors meet?

Question 5 5. Which of the following statements is true?

Page 2

Question 6 6. If we were proving that a given line, call it L, is perpendicular to another line, call it J, using indirect proof, what would our initial assumption be?

Question 7 7. In the pictured triangle, XV is an angle bisector. What is the length of XY?

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

Question 9 9. In the pictured triangle, MS is an angle bisector. What is the length of SO?

Question 10 10. A segment AB is divided by a perpendicular bisector, as shown in the picture. The perpendicular bisector crosses the segment at point C. If it is 3.5 inches from point A to point C, how long is the entire segment?

Page 3

Question 11 11. Which of the following statements are true?

Question 12 12. What is the name for the point where three angle bisectors meet?

Question 13 13. Which one of these is one of the steps in constructing a perpendicular bisector using a straightedge and compass?

Question 14 14. In the pictured triangle, AD is an angle bisector. What is the length of AC?

Question 15 15. Can we form a triangle with line segments that have lengths of 5, 6, and 9 units?

Page 4

Question 16 16. Which of the following represents the angle bisector theorem for the pictured triangle?

Question 17 17. A segment AB is divided by a perpendicular bisector, as shown in the picture. The perpendicular bisector crosses the segment at point C. If it is 18 inches from point A to point B, how long is the distance from point A to point C?

Question 18 18. What is the name for the point where three altitude lines meet?

Question 19 19. Fill in the blanks: According to the triangle inequality theorem, any side of a triangle must be _____ ____ the other two sides of the triangle combined.

Question 20 20. If we have two line segments of lengths 2 and 7, can we form a triangle with these two line segments and a third line segment that has length 10?

Page 5

Question 21 21. If we wanted to use an indirect proof to prove that the integer 77 is odd, what would our initial assumption be?

Question 22 22. What is the name for the point where three median lines meet?

Question 23 23. Which one of the properties described below DOES NOT apply to the perpendicular bisector of a segment?

Question 24 24. What is it called when multiple lines meet at a single point?

Question 25 25. Can we form a triangle with line segments that have lengths 2, 8, and 14 units?

Big Ideas Math Geometry Chapter 6: Relationships Within Triangles 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!

Big Ideas Math Geometry: Online Textbook Help  /  Math Courses
Support