Question

In the diagram, AB = AD and Z BAC = ZDAE. What additional information is necessary to prove that ∆ABC = ∆ADE, using the SAS congruence theorem?

Answer 1

Explanation:

1. Side AB is congruent to side AD. This information is already given: "AB = AD."

2. Angle BAC is congruent to angle DAE. We also need to know that angle BAC is congruent to angle DAE.

With both of these conditions met (AB congruent to AD and angle BAC congruent to angle DAE), we would have the necessary information to apply the SAS congruence theorem and conclude that triangles ∆ABC and ∆ADE are congruent.