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ALGEBRA UNIT 11 DAY 2

ALGEBRA UNIT 11 DAY 2. 1.2 Points, Lines, and Planes. a. Give two other names for PQ and for plane R. b. Name three points that are collinear. Name four points that are coplanar.

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ALGEBRA UNIT 11 DAY 2

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  1. ALGEBRA UNIT 11DAY 2 1.2 Points, Lines, and Planes

  2. a. Give two other names for PQand for plane R. b.Name three points that are collinear. Name four points that are coplanar. • Other names for PQare QPand line n. Other names for plane Rare plane SVT and plane PTV. EXAMPLE 1 Name points, lines, and planes SOLUTION b. Points S, P, and Tlie on the same line, so they are collinear. Points S, P, T,and Vlie in the same plane, so they are coplanar.

  3. Use the diagram in Example 1. Give two other names for ST. Name a point that is not coplanar with points V, S, and T. ANSWER TS, PT; point Q #2 YOU TRY!!!

  4. a. Give another name for GH . a. Another name for GHis HG . b. The rays with endpoint Jare JE, JG, JF, and JH . The pairs of opposite rays with endpoint Jare JEand JF, and JGand JH. EXAMPLE 3 Name segments, rays, and opposite rays b. Name all rays with endpoint J . Which of these rays are opposite rays? SOLUTION

  5. A. Give another name for EF ANSWER FE B. Are HJand JH the same ray ? Are HJand HGthe same ray? Explain. ANSWER No; the rays have different endpoints.Yes; points J and G lie on the same side of H. #4 YOU TRY!!!

  6. c. a. b. EXAMPLE 5 Sketch intersections of lines and planes a. Sketch a plane and a line that is in the plane. b.Sketch a plane and a line that does not intersect the plane. c. Sketch a plane and a line that intersects the plane at a point. SOLUTION

  7. STEP 1 Draw: a vertical plane. Shade the plane. STEP 2 Draw: a second plane that is horizontal. Shade this plane a different color. Use dashed lines to show where one plane is hidden. STEP 3 Draw: the line of intersection. EXAMPLE 6 Sketch intersections of planes Sketch two planes that intersect in a line. SOLUTION

  8. ANSWER Linek ANSWER Use the diagram at the right. ANSWER Linek B. Name the intersection of PQand line k. ANSWER Point M #7 PARTNER WORK A. Sketch two different lines that intersect a plane at the same point. C. Name the intersection of plane A and plane B. D. Name the intersection of line kand plane A.

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