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Big Ideas Math Integrated I, 2016 View details

5. Proving Triangle Congruence by SSS

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Exercise 8 Page 621

Consider the HL Congruence Theorem.

See solution.

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Notice that the two triangles share a side, BC, so by the Reflexive Property of Congruence, we can claim that these sides are corresponding. Let's show this in the diagram.

According to the HL Congruence Theorem, if the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of a second right triangle, then the two triangles are congruent. Therefore, we can claim that these triangles are congruent.