Which quadrilateral is divided into two triangles that can be proven to be congruent using AAS theorem?

Question

(1 point)
Responses

PQRS
upper P upper Q upper R upper S

JKLM
upper J upper K upper L upper M

ABCD
upper A upper B upper C upper D

WXYZ

Answer 1

To determine which quadrilateral can be divided into two triangles that are congruent by the Angle-Angle-Side (AAS) theorem, we need to consider the properties of the quadrilateral.

Among the options you provided, a rectangle or square (like the quadrilateral ABCD or any regular quadrilateral) can be divided into two congruent triangles by drawing a diagonal. The two triangles will share a side (the diagonal), and the two angles adjacent to the diagonal will be equal (each corner angle).

Thus, any of the given quadrilaterals could potentially be separated into two congruent triangles via a diagonal. However, if a specific choice must be made without more context, we can select ABCD as it can easily demonstrate the AAS congruence condition through its diagonal divisions.

So, the answer is ABCD.