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Understanding Points, Lines, and Planes: Homework Guide

This homework guide covers fundamental concepts in geometry, focusing on undefined terms like points, lines, and planes. It explains what collinear and coplanar points are, and provides exercises to identify and name various geometric elements. Students will learn to sketch intersections of lines and planes, including scenarios where they intersect, do not intersect, or are coplanar. The guide also includes questions aimed at deepening understanding of these concepts, making it a valuable resource for mastering geometry basics.

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Understanding Points, Lines, and Planes: Homework Guide

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  1. Section 1.1 Identify Points, Lines and Planes

  2. Homework • Pg #3-6, 17-26

  3. Vocabulary • Undefined Terms – terms that do not have any formal definitions • Collinear Points – points that lie on the same line • Coplanar Points – points that lie on the same plane

  4. Vocabulary (cont.)

  5. Vocabulary

  6. a. Give two other names for PQand for plane R. b.Name three points that are collinear. Name four points that are coplanar. Name points, lines, and planes

  7. a. Give another name for GH . Name segments, rays, and opposite rays b. Name all rays with endpoint J . Which of these rays are opposite rays?

  8. c. a. b. 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

  9. 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. Sketch intersections of planes Sketch two planes that intersect in a line. SOLUTION

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