Question

Ebony is cutting dough for pastries in her bakery. She needs all the pieces to be congruent triangles and has ensured that segment EF ≅ segment ON and ∠MON is congruent to ∠GEF. What would Ebony need to compare in order to make sure the triangles are congruent by AAS?

Answer 1

The congruent statements given are:

$\begin{gathered} \overline{EF}\cong\overline{ON} \\ \angle MON\cong\angle GEF \end{gathered}$

It is required to state what statement will be needed to make sure the triangles are congruent by AAS.

Recall the Angle-Angle-Side (AAS) Theorem:

From the theorem, it follows that a non-included pair of sides will be required.

Hence, the required pair of sides to be compared are:

$\overline{NM}\text{ and }\overline{FG}$

The third choice is the correct option.