Question

Which postulate would prove that triangle EFZ ≅ triangle GFZ?

a) Side-Angle-Side (SAS)
b) Side-Side-Side (SSS)
c) Angle-Side-Angle (ASA)
d) Hypotenuse-Leg (HL)

Answer 1

The Angle-Side-Angle (ASA) postulate would prove that triangle EFZ ≅ triangle GFZ.

Step-by-step explanation:

The postulate that would prove that triangle EFZ ≅ triangle GFZ is the Angle-Side-Angle (ASA) postulate. The ASA postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent. In this case, triangle EFZ and triangle GFZ have the same angle at F and the same side FZ, making them congruent.