Question

What else would need to be congruent to show that ABC= ADEF by SAS?

Answer 1

Answer:

Option C.

Step-by-step explanation:

It is given that,

$\overline{AB}\cong \overline {DE}$

$\overline{AC}\cong \overline {DF}$

According to SAS congruence property, two triangles are congruent if they have two congruent corresponding sides and their included angles are congruent.

Angle between $\overline{AB}\text{ and }\overline {AC}$ is $\angle A$.

Angle between $\overline{DE}\text{ and }\overline {DF}$ is $\angle D$.

So, $\Delta ABC\cong \Delta DE F$ by SAS, if

$\angle A\cong \angle D$

Therefore, the correct option is C.