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Identifying Parallel Sides in Diamond-Back Snake Patterns

In this guide, we explore how to determine if the sides of a diamond-back snake's pattern are parallel by using geometric principles. By understanding alternate interior angles and their congruence, you can conclude if the pattern's sides are parallel. We discuss relevant examples and practice questions, showcasing how to prove lines are parallel through angles. This knowledge is not only applicable in biology but also serves as a foundational concept in geometry.

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Identifying Parallel Sides in Diamond-Back Snake Patterns

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  1. Snake Patterns How can you tell whether the sides of the pattern are parallel in the photo of a diamond-back snake? EXAMPLE 2 Solve a real-world problem SOLUTION Because the alternate interior angles are congruent, you know that the sides of the pattern are parallel.

  2. ANSWER Yes; Alternate Exterior Angles Converse. for Example 2 GUIDED PRACTICE Can you prove that lines aand bare parallel? Explain why or why not.

  3. ANSWER Yes; Corresponding Angles Converse. for Example 2 GUIDED PRACTICE

  4. m 1 + m 2 = 180° ANSWER No; Supplementary angles do not have to be congruent. for Example 2 GUIDED PRACTICE

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