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Understanding Rays and Opposite Rays: Concepts and Examples

This guide provides a comprehensive overview of rays and opposite rays in geometry. Learn how to identify different segments, rays, and their opposite pairs, as well as naming conventions for rays with specified endpoints. Through examples, explore the relationships between rays, such as determining whether rays are the same based on their endpoints. Ideal for geometry students seeking to clarify these foundational concepts through practical exercises and guided practice.

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Understanding Rays and Opposite Rays: Concepts and Examples

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  1. 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 2 Name segments, rays, and opposite rays b. Name all rays with endpoint J . Which of these rays are opposite rays? SOLUTION

  2. 2. Give another name for EF ANSWER Another name for EF is FE 3. Are HJand JH the same ray ? Are HJand HGthe same ray? Explain. ANSWER No; HJand JH have different endpoints, so they are not the same ray Yes; points J and G lie on the same side of H, so they are the same ray for Example 2 GUIDED PRACTICE

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