To determine which parallelogram's triangles can be proven congruent using the AAS (Angle-Angle-Side) postulate, we need to evaluate the provided options.
AAS postulate states that if in two triangles, two angles and the included side are equal, then the triangles are congruent.
Based on the typical properties of parallelograms, we know that:
- Opposite angles are equal.
- The consecutive angles add up to 180 degrees.
- The sides are equal in length.
If the triangles in one of the parallelograms share an angle, have another pair of corresponding angles equal, and have the included side equal, they can be proven congruent using the AAS postulate.
However, without seeing the image of the parallelogram with triangles, I cannot definitively say which specific parallelogram can have its triangles proven congruent using AAS.
If you describe the angles and sides of the triangles formed in each parallelogram, I can help determine which one meets the criteria for AAS congruence.
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