# Discovering Geometry Chapter 3: Using Tools of Geometry Chapter Exam

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. What do you need to draw first when you use geometric construction to draw perpendicular lines?

#### Question 2 2. Which of the following shows a circle inscribed in a square?

#### Question 3 3. What is the midpoint of a line segment that begins at (2, 7) and ends at (2, 3)?

#### Question 4 4. Which statement is true regarding areas based on the pictured triangle? Point G is the centroid.

#### Question 5 5. Using an angle bisector to cut a pie slice in half ensures what?

### Page 2

#### Question 6 6. What do you not need to do for geometric construction?

#### Question 7 7. How many additional points are needed to copy a line segment?

#### Question 8 8. What is the name for the point where three altitude lines meet?

#### Question 9 9. Which of the following tools are needed to draw a pair of parallel lines?

#### Question 10 10. What is it called when multiple lines meet at a single point?

### Page 3

#### Question 11 11. In the pictured triangle, what is a median?

#### Question 12 12. All of the following are enough to construct a triangle EXCEPT:

#### Question 13 13. What line must be drawn before drawing the parallel line?

#### Question 14 14. How many additional points are needed to copy an angle?

#### Question 15 15. The distance between a pair of parallel lines is always:

### Page 4

#### Question 16 16. Which of the following tools is needed in geometric construction?

#### Question 17 17. What is the name for the point where three angle bisectors meet?

#### Question 18 18. What tool is used to make sure copied angles are exactly the same as the original?

#### Question 19 19. What tool is needed to check a drawing of parallel lines?

#### Question 20 20. If rectangle 1 measures 4 by 5 inches and rectangle 2 measures 12 by 15 inches, how much bigger is rectangle 2 than rectangle 1?

### Page 5

#### Question 21 21. If square 1 is 5 times bigger than square 2, what is the measurement of one of the sides of square 1 if the sides of square 2 measure 2 inches?

#### Question 22 22. In order to create an angle bisector, how many straight lines do you need to draw after setting up your problem using geometric construction?

#### Question 23 23. What is the area of the shaded area, rounded to the nearest whole number?

#### Question 24 24. What pictured shape do we draw to identify the measured length of a triangle's side?

#### Question 25 25. If the area of the square is 64, what is the area of the circle, rounded to the nearest whole number?

### Page 6

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

#### Question 27 27. Which statement is true about the pictured triangle?

#### Question 28 28. In the pictured triangle, what is the centroid?

#### Question 29 29. Which of the following are two similar polygons?

#### Question 30 30. Triangles and 1 and 2 are similar triangles. If triangle 1 has angles that measure 60, 30, and 90 respectively, what are the angle measurements of triangle 2?

#### Discovering Geometry Chapter 3: Using Tools of Geometry 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!