To determine which quadrilateral can be divided into two triangles that are congruent by the AAS (Angle-Angle-Side) theorem, we need to consider the properties of each quadrilateral.
While the specific properties of quadrilaterals JKLM, PQRS, WXYZ, and ABCD are not provided here, in general, any quadrilateral that can be divided by a diagonal into two triangles may potentially have congruent triangles if:
- Two angles of one triangle are congruent to two angles of the other triangle.
- The lengths of the sides between these two angles (the included side) are congruent.
Typically, congruence through AAS can often be established in specific types of quadrilaterals like parallelograms, rectangles, or isosceles trapezoids where certain angles and side conditions create congruent triangles.
To definitively answer the question, more context or details about the specific angles and sides of quadrilaterals JKLM, PQRS, WXYZ, and ABCD would be needed. Please provide any additional information you may have about these quadrilaterals!