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Given: MQ = NQ; Q is the midpoint of LP; LM ≅ PN Which congruence theorem can be used to prove △MLQ ≅ △NPQ?

Respuesta :

Since Q is the midpoint of LP, that means that LQ is congruent to QP.  We are given that MQ is congruent to NQ and LM is congruent to PN.  We therefore have all 3 sides of one triangle congruent with all 3 sides of the other, so the triangles are congruent by the Side Side Side (SSS) theorem.

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