Question

triangle congruence theorems
sss (side-side-side)
aas (angle-angle-side)
sas (side-angle-side)
hl (hypotenuse-leg)
asa (angle-side-angle)

multiple-choice question
which of the following is the correct statements for the pair of adjacent angles that are shown to be congruent in the aas image?
∠a≅∠d
∠b≅∠e
∠c≅∠f
∠a≅∠d
∠c≅∠f
∠a≅∠d
∠b≅∠f

Explanation:

Step1: Recall AAS (Angle - Angle - Side) theorem

AAS states that if two angles and a non - included side of one triangle are congruent to two angles and the corresponding non - included side of another triangle, then the two triangles are congruent. In the AAS image, we have two angles and a side relationship.

Step2: Analyze the angle congruence

In the AAS triangle congruence, we have \(\angle A\cong\angle D\) (given as part of the AAS condition from the image's congruence markings).

Answer:

\(\angle A\cong\angle D\)