To determine which parallelogram allows the triangles to be proven congruent using the Angle-Angle-Side (AAS) criterion, we need to analyze the properties of each parallelogram and the relationships among the triangles formed within them.
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QRSP: Without additional information about the angles and the sides, it's not possible to determine congruence using AAS.
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ABCD: Similar to QRSP, we would need specific details about the angles and the included sides to assess congruence with AAS.
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JKLM: As with the previous parallelograms, we need specifics on the triangles to conclude whether AAS can be used.
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WZYX: As with the others, we require information on the interior angles and sides for an AAS assessment.
Conclusion: You would be looking for a specific pair of triangles within one of these parallelograms where two angles and a non-included side can be shown to be congruent. If any of the options show two angles congruent and the side between those angles in a triangle, that would potentially be the answer. However, without the corresponding images or additional information about the angles and sides of each triangle, I cannot definitively identify which parallelogram's triangles can be shown congruent via AAS.
Please review each parallelogram and check for pairs of triangles that meet the conditions of the AAS criterion to find your answer.
1 answer