Question

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

A. ZCE ZF
B. BC = EF
O C. ZA= ZD
D. AC = DF

Answer 1

Option C.

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.