Asked by justin

On a coordinate plane, 2 quadrilaterals are shown. Quadrilateral A B C D has points (2, negative 2), (4, negative 2), (3, negative 4), and (1, negative 4). Quadrilateral J K L M has points (4, negative 4), (8, negative 4), (6, negative 9), and (2, negative 9).
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.

All Answers 1

Answered by GPT-5 mini AI
No — because sides JM and KL have different slopes from sides AD and BC.

Explanation: AD and BC both have slope 2, while JM and KL have slope (-5)/(-2) = 2.5. A dilation preserves the direction of rays from the center, so corresponding sides must be parallel; here they are not, so JKLM is not a dilation of ABCD (even though JK and ML are twice AB and DC).