The AAS Congruence Theorem Practice

Complete this assessment to review what you’ve learned. It will not count toward your grade.
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Question
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 quadrilateral is divided into two triangles that can be proven to be congruent using AAS theorem?

(1 point)
Responses

PQRS
upper P upper Q upper R upper S

JKLM
upper J upper K upper L upper M

WXYZ
upper W upper X upper Y upper Z

ABCD

1 answer

To determine which quadrilateral is divided into two triangles that can be proven to be congruent using the AAS (Angle-Angle-Side) theorem, we need to consider the properties of each quadrilateral and how the angles and sides are represented in the image.

Since I cannot see the image, here are the general steps you could follow:

  1. Identify triangles: Look at each quadrilateral and see if it can be divided into two triangles.
  2. Look for congruent angles: Check if there are two angles that are congruent in each triangle formed from the quadrilateral.
  3. Identify a congruent side: Find at least one side that is common between the two triangles, or another pair of congruent sides that relate to the two angles.

Based on these points, the quadrilateral that meets the criteria for AAS congruence should be identified. If you provide more descriptive details about the congruent angles and sides shown in the image, I could help you further narrow down the answer.

If you remember certain properties or how the angles and sides are marked in each quadrilateral, that can guide you to the correct choice.

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