Question

4a) Why are the two triangles congruent? *
H
M
K
J
L

Answer 1

SAS Congruency (see below)

Explanation:

First, prove the two triangles congruent:

You should know that ∠HKL ≅ ∠MKL because of Vertical Angles Congruence Theorem because they're vertical angles.

If it's already given that HK ≅ MK and JK ≅ LK, then you can clearly see that you can use the SAS Postulate to prove ΔHKL ≅ ΔMKL.

For a flow chart proof for this, refer to the image: