Question

What can be concluded about a pair of triangles with some congruent corresponding parts? Select all that apply.

The two triangles are always congruent.
The two triangles are never congruent.
The two triangles are sometimes congruent.
A conclusion cannot be made based on the given information.

Answer 1

The answer The two triangles are sometimes congruent.

Explanation:

Answer 2

A conclusion cannot be made based on the given information.

Explanation:

Take an example of such two triangles where we are given the information that two sides are congruent and an angle that is not enclosed is congruent. These two particular triangles may or may not be congruent. However, they either are or are not - that does not change in time, so the third answer "Two two triangles are sometimes congruent" is non-sense. The only remaining and correct option is the fourth one: conclusion on congruency cannot be made.