What postulate would we use if three pairs of corresponding sides are congruent?
Side-Side-Side Congruence Postulate
Practice makes perfect
We are asked to name the postulate we would use to prove that the given triangles are congruent. To do so, we will start by labeling the vertices in the given diagram.
Looking at the given markings, we can see that AB ≅ DF, AC ≅ EF, and BC ≅ DE. Since the three sides of one triangle are congruent to the three sides of the other triangle, the postulate we need to prove the triangles are congruent is the Side-Side-Side Congruence Postulate (SSS).
