Question

In order to show that △ABC≅△DEF by the ASA (Angle-Side-Angle) postulate, what else would need to be congruent?

A) Side BC must be congruent to Side EF.
B) Angle B must be congruent to Angle E.
C) Angle C must be congruent to Angle F.
D) Side AC must be congruent to Side DF.

Answer 1

To prove △ABC≅△DEF by the ASA postulate, Angle A must be congruent to Angle D, Angle B must be congruent to Angle E, and Side AC must be congruent to Side DF.

Step-by-step explanation:

In order to show that △ABC≅△DEF by the ASA (Angle-Side-Angle) postulate, we need to prove that two angles and the included side of one triangle are congruent to the corresponding angles and included side of the other triangle.

So, to prove △ABC≅△DEF, we need to prove that Angle A is congruent to Angle D, Angle B is congruent to Angle E, and Side AC is congruent to Side DF.