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Given: NM | XZ Prove: AXYZ ANYM N X We know that side NM is( to side XZ. If we consider side NY the transversal for these parallel lines, we create angle pairs. Using the , we can state that YXZ is congruent to YNM. We know that angle XYZ is congruent to angle by the reflexive property. Therefore, triangle XYZ is similar to triangle NYM by the similarity theorem. N M
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