Question

Given:

<1 = <4

Prove:
AD = CB

Which of the following triangle congruence theroms would be used in this proof?
SAS
ASA
AAS

Answer 1

SAS

Explanation:

Since angle 1 = angle 4,

Segments AB and DC are parallel (alternate angles)

Triangles DCA and BAC have 2 sides equal (AB = CD and AC) and one congruent angle in between these sides.

Hence, the two triangles are congruent by SAS

Therefore, AD = CB