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HL Theorem

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The Hypotenuse-Leg Theorem states that if two right triangles have congruent hypotenuses and one corresponding leg that is also congruent, then the triangles themselves are congruent. This theorem helps simplify the comparison between right triangles and provides an essential foundation for geometric proofs and applications. For example, if triangle ABC and triangle DEF both have a hypotenuse of the same length and one corresponding leg that is equal, we can conclude that these triangles are congruent based on this theorem.

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HL Theorem

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  1. HL Theorem Page 19 9/13

  2. Hypotenuse-Leg Theorem • If in two RIGHT TRIANGLES, the hypotenuse and one leg are congruent, then the triangles are congruent.

  3. Example 1

  4. Example 2

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