Question

Which postulate can be used to prove that LMN and LPN are congruent? Given segment MN is congruent to PN and LM is congruent to LP

Answer 1

Remark

It is very handy to remember that a line is always equal to itself. In this case, LN = LN will come in very handy.

Givens

LM = PL Given

MN = NP Given

LN = LN Reflexive property. A line is always equal to itself.

These three sides are congruent in one triangle as they are in the second triangle. The triangles are congruent by SSS