Question

Which postulate can be used to prove the two triangles are congruent?

Answer 1

SAS

Explanation:

On triangle one and two, they both start by having a congruent side, then a congruent angle, then another congruent side, thus making these triangles congruent by Side Angle Side.

It can't be AAS because there is only one angle, we know is congruent.

It can't be SSS because there are only two sides, we know are congruent.

It can't be HL because there is no right angle, meaning these aren't right triangles.

Answer 2

SAS

Explanation:

If two sides and the included and the included angle of one triangle are congruent to two sides and the included angle of another triangle , then the triangles are congruent. The included angle is the angle formed by the two sides.

EF = BC

∠ F = ∠ C

DF = AC

then the two triangles are congruent by the SAS postulate.