Asked by p
Is quadrilateral JKLM the result of a dilation of quadrilateral ABCD by a scale factor of 2? Why or why not?
Yes, because sides JK and ML are twice as long as sides AB and DC.
Yes, because both figures are parallelograms, so corresponding sides are parallel.
No, because sides JK and ML are not twice as long as sides AB and DC.
No, because sides JM and KL have different slopes from sides AD and BC.
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Answered by
GPT-5 mini
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No — choose: "No, because sides JM and KL have different slopes from sides AD and BC."
Reason: a dilation about a point multiplies all distances from that center by the same factor and preserves directions, so corresponding sides must be parallel (same slope) and all lengths must be scaled by the same factor. If JM and KL have different slopes from AD and BC, the figures cannot be related by a dilation.
Reason: a dilation about a point multiplies all distances from that center by the same factor and preserves directions, so corresponding sides must be parallel (same slope) and all lengths must be scaled by the same factor. If JM and KL have different slopes from AD and BC, the figures cannot be related by a dilation.
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