Question

If. then AABC and ADEF are congruent by the ASA criterion.Ifthen AABC and ADEF are congruent by the SAS criterion.AABC and ADEF are congruent if

Answer 1

ASA Criterion means that the triangles are congruent if the corresponding Angle-Side-Angle is also congruent.

From the the Triangle ABC :

`\angle C-BC-\angle D`

corresponds with ASA.

Likewise from the Triangle DEF :

`\angle F-FE-\angle E`

Since the given figure already states that :

and BC = FE

The other item that will complete the ASA will be :

SAS criterion means that the triangle are congruent if the corresponding Side-Angle-Side are also congruent.

The following corresponds with SAS :

From the triangle ABC :

`CA-\angle C-BC`

From the triangle DEF

`DF-\angle F-EF`