Tutor-USA.com Worksheet

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1 Tutor-USA.com Worksheet Geometry Points, Lines, and Planes ame: Date: Y C G E H X A B F D 1) Name the two planes in the above figure. 2) List the points labeled in the above figure. Classify each statement as true of false. 3) AB contains H. 4) CD contains B. 5) Plane X contains AB and G. 6) CD passes through H. 7) X and Y intersect at CD. 8) X and Y intersect at EF. 9) A, B, and H are collinear. 10) C, G, B, and A are coplanar. 11) C, G, and A are coplanar. 12) A, B, and C are collinear. 13) A and C are collinear. 14) CD intesects X at H. Tutor-USA.com All Rights Reserved

2 Tutor-USA.com Worksheet Answer Key 1) Plane X and Plane Y 2) A, B, C, D, E, F, G, H 3) T 4) F 5) T 6) T 7) F 8) T 9) T 10) F 11) T (any 3 points are coplanar) 12) F 13) T (any 2 points are collinear) 14) T Tutor-USA.com All Rights Reserved

3 Name: Date: SCORE: /55 pts Points, Lines, and Planes Refer to the Figure for questions 1-5. Exercise 1 1. Name a line that is not contained in plane N. (2 pt) 2. Name two different ways to name a plane that contains point B. (2 pt) 3. Name three collinear points. (2 pt) 4. Name two lines that intersect and the point where they intersect. (3 pt) 5. Name a set of opposite rays. (2 pt) Refer to the Figure for questions Name ALL the planes. (6 pt) 7. Name three collinear points. (2 pt) 8. Are points N, S, R, and W coplanar? Why? (2 pt) 9. What is another way to name Plane A? (2 pt) 10. Where do QR and SR intersect? (2 pt) 11. Name two lines or segments and their intersections (other than question 10). (3 pt) For questions 12-17, determine whether each statement is always, sometimes, or never true. (2 pt) 12. TQ and QT are the same line. 13. JK and JL are the same ray. 14. Intersecting lines are coplanar. 15. Four points are coplanar. 16. A plane containing two points of a line contains the entire line. 17. Two distinct lines intersect in more than one point.

4 Drawing Situations (5 pt) 18. Complete the figure at the right to show the following relationship: Lines l, m, and n are coplanar and lie in plane Q. Lines l and m intersect at point P. Line n intersects line m at R, but does not intersect line l. 19. Complete the figure at the right to show the following relationship: Plane R contains lines AB and DE, which intersect at point P. Add point C on plane R so that it is not collinear with AB or DE. 20. Draw and label a plane Q that satisfies each relationship: AB is in plane Q ST intersects AB at P Point X is collinear with points A and P Point Y is not collinear with points T and P Line l contains points X and Y

5 Name: Date: SCORE: /20 pts Points, Lines, and Planes Partner Drawing Draw a figure below that meets the following criteria: At least one plane At least 4 lines, segments, and/or rays At least 8 points Make sure the picture is drawn neatly and very large. Label the points, lines, and plane(s) correctly. (5 pt) Write a description of your figure below. (10 pt) Teacher Signature Sign-Off

6 Now get with a partner and sit back to backs. Have one person go first and give the description of their drawing to the other person. That person must attempt to draw that figure without looking at the figure. When the first drawing is complete, switch roles and do it again. Your Name: Partner Name: Your drawing of your partners description: (5 pt)

7 Name: Date: SCORE: /10 pts Points, Lines, and Planes Describing What You See

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