Question

The picture below shows four parallelograms that have been divided into triangles. For which parallelogram can the triangles be proven congruent using AAS?



(1 point)
Responses

WZYX
WZYX

QRSP
QRSP

JKLM
JKLM

ABCD
ABCD

Answer 1

To determine which parallelogram's triangles can be proven congruent using the AAS (Angle-Angle-Side) postulate, we need to analyze the angles and the sides of the triangles formed by dividing each parallelogram.

1. **WZYX**: Analyze the angles and sides of the triangles here.
2. **QRSP**: Look for angle pairs and sides in the triangles.
3. **JKLM**: Check the angles and corresponding sides.
4. **ABCD**: Evaluate the triangles formed by this parallelogram.

Without the visual representation, I cannot definitively say which one can be proven using AAS. However, generally speaking, for AAS to apply, you would need:
- Two angles that are congruent (from the triangles).
- A non-included side that is also congruent.

To find the correct answer:
- Look for the parallelogram where you have one side that is common or congruent, and two angles from each triangle that are also congruent.
- The characteristics of the parallelogram (opposite angles are equal) can also aid in determining congruences.

If you can provide more specific angle and side relationships of the triangles within each parallelogram, I can give a more precise answer!