The congruence postulate or theorem that is stated is the: C. AAS congruence theorem.
What are Congruent Triangles?
Triangles that are referred to as congruent triangles are triangles that have corresponding congruent sides and corresponding congruent angles.
What is the Angle-angle-side Congruence Theorem (AAS)?
According to the angle-angle-side congruence theorem (AAS) two triangles are congruent if two angles and a non-included side of one triangle are congruent to two corresponding angles and a non-included side of the other are congruent to each other.
For example, in triangles GUM and RED given in the image attached below, we have the following:
∠G ≅ ∠R [a pair of congruent angles]
∠M ≅ ∠D [a pair of congruent angles]
GU ≅ RD [a pair of non-included congruent side]
Thus, both triangles are congruent by the AAS, which is the congruence theorem that is stated above.
The answer is: C. AAS.
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