Question

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

Answer 1

Answer:SSS

Explanation:

Answer 2

(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.