Looking at the image above, we are given that side BE is congruent to side ED while side AE is congruent to side EC. This can be written as follows: BE = ED AE = EC
In this case, ∠1 and ∠2 can be classified as vertical angles. Vertical angles are the two angles on opposite sides of two intersecting lines. These angles are always congruent to one another. Consequently, ∠1 and ∠2 must also be congruent to one another. This can be written as follows:
∠1 = ∠2
We have now proven the congruency of two sides and one angle. Because the angle lies between the two sides, this implies the use of SAS (side-angle-side).
These triangles are congruent by side-angle-side congruence. The two pairs of tick marks indicate those sides congruent, and the included angles are congruent because they are vertical angles.
Answer: B) SAS
Also, SSA (option C) is not a congruence postulate.
