To determine which parallelogram can be divided into two triangles that can be proven congruent by the AAS (Angle-Angle-Side) postulate, we need to look for a parallelogram where two angles and a non-included side of one triangle correspond to two angles and the corresponding side of another triangle.
Generally, in a parallelogram:
- Opposite angles are congruent.
- Adjacent angles are supplementary.
- Opposite sides are congruent.
Without the image itself, I cannot definitively identify which parallelogram fits the criteria for AAS congruence. However, generally speaking, if a diagonal of a parallelogram is drawn, it divides the parallelogram into two triangles. In such a case, if you have one angle from one triangle congruent to one angle from the other triangle (which is likely to happen given the properties of parallelograms), and the side forming those angles is the same (the diagonal), you can apply AAS.
Please examine the image for congruences of angles and sides near the diagonals drawn in each parallelogram. Look for two triangles created by a diagonal that have:
- Two angles that can be shown to be congruent due to the properties of the parallelogram.
- The included side being the diagonal itself.
Once you find such a formation, you will identify the parallelogram that satisfies the AAS condition.
1 answer