Question

By SAA conjecture, determine which triangles are congruent.

Answer 1

Answer:

The correct option is;

[B] ΔABF ≅ ΔEDF

Step-by-step explanation:

GIven that ∠FAE is congruent to ∠FEA

Therefore, triangle ΔFAE is an isosceles triangle (Definition of isosceles triangle)

Segment FA is equal to segment FE (Equal segments of isosceles triangle)

Angle ∠EFD is congruent to angle ∠AFB (Vertically opposite angles)

Therefore, triangle ΔABF is congruent to triangle ΔEDF (Angle Angle Side AAS rule of congruency)

The correct option is ΔABF ≅ ΔEDF.