To determine which parallelogram's triangles can be proven congruent using the Angle-Angle-Side (AAS) theorem, we need to evaluate the arrangement of angles and the included side in each parallelogram.
The AAS theorem states that if two angles and the non-included side of one triangle are congruent to two angles and the non-included side of another triangle, then the triangles are congruent.
Without the visual representation or specific angles/sides, I can't definitively identify which parallelogram meets the AAS requirement. However, you can follow these steps to identify it:
- Identify pairs of triangles in each parallelogram.
- Check for two angles in each triangle that are congruent.
- Verify the non-included side between these angles is also congruent.
Look for a parallelogram where these conditions hold, and that will be your answer. If you provide more specific information about the angles and sides in each parallelogram, I can assist further!