Question

Consider parallelogram 1 and parallelogram 2 on the coordinate plane. Which sequence of transformation proves parallelogram 1 is similar to parallelogram 2?

Answer 1

D. dilation by a factor of 2, translation down 5

Explanation:

Parallelogram 1 is half the size of parallelogram 2, so the first step in the mapping could be dilation of parallelogram 1 by a factor of 2. This will result in the top edge being at y=8. The corresponding top edge of parallelogram 2 is at y=3, so a translation downward is required to complete the mapping.

These transformations are described by answer choice D.

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Comment on reflection

Reflection of either parallelogram would reverse the slopes of the slanted sides, so they would no longer be able to be overlaid by dilation or translation.