Question

Write a two column proof. Given: MN is congruent to PN and LM is congruent to LP. Prove: MLN is congruent to PLN

Answer 1

In triangle MNL and triangle NPL,we have,
MN=PN(given)
LM=LP(given)
LN=LN(common side)
=>triangle MNL is congruent to triangle PLN. (SSS criterion rule)
Hope This helps u...!!!!

Answer 2

Given :

In triangles MLN and PLN,

MN ≅ PN,

LM ≅ LP

To prove :

Δ MLN ≅ Δ PLN

Proof :

Statement Reason

1. LN ≅ LN 1. Common segment

2. MN ≅ PN; 2. Given

LM ≅ LP

3. Δ MLN ≅ Δ PLN 3. SSS postulate of congruence,

Hence, proved.