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Use the image to answer the question.

There are four parallelograms. Tick marks and arcs are used to show congruent sides and angles of the parallelograms.

Which parallelogram is divided into two triangles that can be proven congruent by AAS?

(1 point)
Responses

ABCD
upper A upper B upper C upper D

WXYZ
upper W upper X upper Y upper Z

PQRS
upper P upper Q upper R upper S

JKLM
upper J upper K upper L upper M
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1 answer

To determine which parallelogram is divided into two triangles that can be proven congruent by AAS (Angle-Angle-Side), we need to identify one parallelogram that has two angles and a non-included side that are congruent.

AAS 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 two triangles are congruent.

Without the image, I recommend looking for a parallelogram where:

  1. There are two pairs of corresponding angles marked as congruent (usually indicated by the same number of arc marks).
  2. There is a side that is marked as congruent (usually indicated by tick marks).

Once you identify such pairs in one of the parallelograms, that would be the answer.

Please refer to the image and check the angles and sides for congruence in each parallelogram to select the correct one that meets the AAS criteria.