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

Answer:

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.

Answer 2

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...!!!!