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 and DC are congruent as well as AD and BC. Additionally, AC is congruent to itself by the Reflexive Property of Congruence.
AB ≅ DC
AD ≅ BC
AC ≅ AC
Therefore, the three sides of one triangle are congruent to the three sides of the other triangle. Consequently, the postulate to be used to prove the triangles are congruent is the Side-Side-Side(SSS) Congruence Postulate.
