Question

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"?

Answer 1

Answer:

The pre-image of the parallelogram, has slope of AD equal −3 and the slope of BC equal −3. Since translation and reflection are rigid transformations, the preimage and the image are congruent. ... Since the two line segments have the same slope, they are parallel.