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

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

Step-by-step 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.

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.

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