What property allows us to determine the congruency of the two triangles in the diagram?

A) SSS

Step-by-step explanation:

In geometry, two figures are congruent if they have the same shape and size. In this case, triangle ACB and triangle DFE are congruent if they have  exactly the same three sides and exactly the same three angles.

SSS property (side, side, side) states that two triangles have all three sides equal. This means that:

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc