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Proving Congruent Triangles

Proving Congruent Triangles 1.7 - Solution

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To prove triangle congruence by the SAS Congruence Theorem, we need two pairs of congruent sides and congruent included angles. Consider the given diagram.

We see that and that Moreover, and are both right angles and hence they are congruent. Therefore, we have two pairs of congruent sides and one pair of congruent included angles. We can conclude that by the SAS Congruence Theorem.