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Three-Dimensional Coordinate Geometry 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 lines are coplanar?

a. Lines AB and EF

b. Lines EF and FG

c. Lines CD and BG

d. Lines FG and CE

Question 2 2. Coplanar lines are . . .

Question 3 3. If point 1 is (5, 6) and point 2 is (-1, -2), what value would you plug into y sub 2 in the distance formula?

Question 4 4. If point 1 is equal to (0, 1) and point 2 is equal to (4, 0), what value would you plug into x sub 1 in the distance formula?

Question 5 5. A vector of magnitude 30 makes an angle of 53 degrees with the x-axis. What is the x-coordinate of this vector?

Page 2

Question 6 6. What is the magnitude of the vector with coordinates (34, 56, 21)?

Question 7 7. Which is the correct reflection of this figure across the line y = x?

Question 8 8. Which of the following is the rule for reflections across the x-axis?

Question 9 9. In the diagram below, choose the line that is skew to line AB.

Question 10 10. In the diagram below, choose the line that is parallel to line AB.

Page 3

Question 11 11. What is the centroid of the semicircle shown below?

Question 12 12. What is the x-coordinate of the centroid of the semicircle shown below?

Question 13 13. A tetrahedron has height 7.5, and its base triangle has base length 3.4 and height 6.1. Find the volume of the tetrahedron. Round your answer to the nearest whole number.

Question 14 14. What is the volume of a tetrahedron with vertices at the points (0,0,0), (2,0,0), (0,6,0), and (0,0,3)?

Question 15 15. The arrow points to the origin on the graph. What are the coordinates for the origin?

Page 4

Question 16 16. Select the correct coordinates for the star.

Question 17 17. Which of the following is not a polygon?

Question 18 18. Which of the following is not a polyhedron?

Question 19 19. Point G is the centroid of the triangle. If segment CF is 48 units long, how long is segment FG?

Question 20 20. If segment CG has a length of 12 units, and G is the centroid of the triangle, how long is segment CF?

Page 5

Question 21 21. What shape is the candle in this candle holder?

Question 22 22. What kind of shape is a shoebox?

Question 23 23. In which quadrant is the point (-2, 5)?

Question 24 24. In which quadrant is the point (3, 6)?

Question 25 25. Which space do we work in when checking for coplanar lines?

Page 6

Question 26 26. Find the distance between the points (1, 1) and (4, 1).

Question 27 27. A certain vector makes an angle of 24 degrees with the x-axis, 63 degrees with the y-axis, and 87 degrees with the z-axis. What is the unit vector that gives the direction of this vector?

Question 28 28. Which of the following is the rule for the reflection of a figure across the y-axis?

Question 29 29. Choose the best answer to complete the sentence: Skew lines are two lines that ____________________.

Question 30 30. Find the y-coordinate of the centroid of the semicircular shown below.

Three-Dimensional Coordinate 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!

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