In triangle ABC and triangle DEF, sides AB and DE each have a side le…

Question

Prompt

In triangle ABC and triangle DEF, sides AB and DE each have a side length of

6

inches, and angles A and D each have an angle measure of

4 0^{\circ}

. Which of the following additional pieces of information is(are) sufficient to prove whether triangle ABC is congruent to triangle DEF?
I. The measures of angles B and C are equal.
II. The lengths of sides AC and DF are equal.
III. The lengths of sides BC and EF are equal.

I is sufficient, but II and III are not.

II is sufficient, but I and III are not.

III is sufficient, but I and II are not.

II is sufficient and III is sufficient, but I is not.