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Given: MQ = NQ; Q is the midpoint of LP; LM ≅ PN Triangles M L Q and N P Q are connected at point Q. A line is drawn from points M to N to form triangle M N Q. Which congruence theorem can be used to prove △MLQ ≅ △NPQ? AAS SSS ASA SAS

User Olu
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2 Answers

4 votes

Answer:SSS

Explanation:

User Akoprowski
by
8.4k points
4 votes

Answer:

(B)SSS

Explanation:

Given: MQ = NQ and LM ≅ PN

If Q is the midpoint of LP, then Q divides LP into two equal parts such that: LQ=QP

Therefore:

  • MQ = NQ
  • LM ≅ PN; and
  • LQ=QP

We conclude therefore that △MLQ ≅ △NPQ by the SSS congruence theorem.

User SchaunW
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8.0k points
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