In triangle \(ABC\) and triangle \(DEF\), sides \(AB\) and \(DE\) eac…

Question

Prompt

In triangle

A B C

and triangle

D E F

, sides

A B

and

D E

each have a side length of

10

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

A B C

is congruent to triangle

D E F

?
I. The measures of angles

B

and

C

are equal.
II. The lengths of sides

A C

and

D F

are equal.
III. The lengths of sides

B C

and

E F

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.