Question

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

Answer 1

its the SSS theorem, I took the test and got it right

Answer 2

Answer: congruence theorem  SSS  will be used.

Explanation:

Since, in the $\triangle MLQ$ and $\triangle NPQ$

MQ=NQ (given)

LM=PN  (given)

LQ=QP ( Because it is given that Q is the mid point of line LP)

Here, three sides are equal, so, by SSS congruence theorem.

Thus, $\triangle MLQ\cong \triangle NPQ$

Therefore, second option is correct.