In the pre-image of the parallelogram, the slope of AD is −3 and the slope of BC is −3. The image is translated down 7 units and then reflected over the y−axis. | The slope of A"D" is . | The slope of B"C" is . | What can you determine about the line segments A"D" and B"C"?

A translation does not change a line’s slope. Reflecting over the y-axis changes a slope m to −m, so each segment with original slope −3 has image slope 3. Since A″D″ and B″C″ have the same slope, they are parallel; the correct choice is “They are parallel.”

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