The AAS Congruence Theorem states that if two triangles have congruent angles in two pairs and a congruent non-included side, they are congruent. In image 4, ΔABC and ΔWXY satisfy these conditions.
The AAS (Angle-Angle-Side) Congruence Theorem is a geometric principle that establishes conditions for two triangles to be congruent. According to this theorem, if two triangles have two pairs of corresponding angles that are congruent and a pair of corresponding non-included sides that are congruent, then the triangles are congruent.
In the context of image 4, where we consider triangles ΔABC and ΔWXY, the AAS Congruence Theorem is applied. It is noted that ∠A is congruent to ∠W, ∠C is congruent to ∠Y, and the non-included side AB is congruent to WX. These conditions satisfy the requirements of the AAS Congruence Theorem.
The visual representation of triangles ΔABC and ΔWXY in image 4 provides a clear illustration of the congruent angles and sides. By the AAS Congruence Theorem, we can conclusively state that these two triangles are congruent.
In summary, the AAS Congruence Theorem asserts that if two triangles exhibit congruence in two pairs of corresponding angles and have a pair of congruent non-included sides, then they are congruent. In the specific case of image 4, ΔABC and ΔWXY meet these conditions, establishing their congruence.
The question probable may be;
Which of the following pairs of triangles can be proven congruent by AAS?
A. (Image 1)
B. (Image 2)
C. (Image 3)
D. (Image 4)