Question

the figure it is given LM congruent to ON and LN congruent OM
prove that triangle LMN congruent to triangle ONM
Also, prove that triangle LPM congruent to triangle OPN.


step by step explanation ​

Answer 1

SOL. In triangle LMN & triangle ONM,

LM=ON(given)

LN=OM(given(

MN=MN(common)

Therefore,triangle LMN is congruent to triangle ONM by SSS congruence.

Also In triangle LPM and traingle OPN,

LM=ON(given)

MP=NP(given)

Angle P=Angle P(VOA)

Therefore,Traingle LPM is congruent to traingle OPN by SAS congruence.

THANKYOU ❤

Answer 2

Answer:

Step-by-step explanation:

In LMN and ONM

LM =ON (GIVEN)

MN = MN (COMMON)

Angle LMN=ONM

LMN CONGRUENT ONM (SAS)

IN LNP AND ONP

LM =ON

PM=PN

ANGLE LPM=OPN (vertically opposite)

LNP CONGRUENT ONP (SAS)