Geometry question?

Question

I thought I had the answer but my teacher said I was wrong.

I need to justify whether the given statement is always, sometimes or never true. I said never Theorem 5.9 What should the correct answe be?

In triangle JHK and Triangle LMN, if angle J is congruent to angle L, then HK is congruent to MN.

Answer 1

This is always true.
as congruent triangles imply that the corresponding parts of the triangles are congruent.

But what in the world is theorem 5.9
You are just mentioning the no. of the theorem in your textbook
there is no official no. for it.
state the theorem for clarification.

Answer 2

The answer is sometimes true. It is true only if the two triangles are congruent.

Answer 3

Sometimes. The sum of the other two angles is 180-J which means ther are a lot of different combinations

Answer 4

always