# Geometry Basics Chapter Exam

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### Page 1

#### Question 1 1. Find the center and radius of the following equation:

#### Question 2 2. What number is needed to make this equation a perfect square?

#### Question 3 3. Which of the following choices is the distance formula?

#### Question 4 4. Which of the following is a quadratic equation?

#### Question 5 5. What is the approximate volume of a cone with a base diameter of 4m and a height of 10m?

### Page 2

#### Question 6 6. What is the approximate circumference of a circle with an area of 10m^2?

#### Question 7 7. What is the distance between the points (-5, -2) and (5, 2)?

#### Question 8 8. What information do we need to graph a circle?

#### Question 9 9. What is the formula of the following graph?

#### Question 10 10. Find the distance between the points (-3, 4) and (2, 5).

### Page 3

####
Question 11
11.
What number is needed to complete this square?

x^2 + 6x = 9

#### Question 12 12. Estimate the coordinates of the midpoint of the line segment below:

####
Question 13
13.
What is the next step in completing the square for this equation?

3x^2 + 9x = 12

#### Question 14 14. Find the center and radius of the following equation:

#### Question 15 15. In which quadrant(s) does this circle exist?

### Page 4

#### Question 16 16. The midpoint between the points (0, 5) and (x, -3) is (-2, 1). What is the value of x?

#### Question 17 17. Find the distance between the two points (-4, -2) and (-4, 3).

#### Question 18 18. Complete the square for the equation x^2 + 8x + 1 = 0.

#### Question 19 19. Write the following equation in the form y = a(x - h)^2 + k.

#### Question 20 20. What is the midpoint between (4, -5) and (10, 5)

### Page 5

#### Question 21 21. Circle D has a radius of 17 cm. What is the circumference of circle D?

#### Question 22 22. The distance between the points (-3, 2) and (3, y) is 10. What is a possible value of y?

#### Question 23 23. The points on either end of a line segment are called _____.

#### Question 24 24. Mitchell has decided to give his dog a longer leash to roam in the backyard. If the new 7 ft. leash is tied to the center pole in the yard, how much area in the yard does the dog have to move around?

#### Question 25 25. Judy is baking a round cake for her niece's birthday and the recipe requires her to coat the bottom of the pan with flour. If the cake pan has an 8-inch diameter, how much flour will she need to cover the bottom of the pan?

### Page 6

#### Question 26 26. Which step below shows an error in solving for the distance between the two points (3,4) and (-3,2)?

#### Question 27 27. Find the center and radius of the following equation:

#### Question 28 28. William is riding on a bike trail that circles the city's park. If the park has a radius of 110 yards, how long is the trail?

#### Question 29 29. Find the distance between the two points (4, 1) and (10, 9).

#### Question 30 30. A bicycle wheel has a diameter of 26 inches. What is the circumference?

#### Geometry Basics 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!