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On a coordinate plane, parallelogram A B C D, parallelogram A prime B prime C prime D prime, and parallelogram A double prime, B double prime, C double prime, D double prime are on the graph.
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"?

Respuesta :

Using translation concepts, we have that:

  • The slope of A"D" is of 3.
  • The slope of B"C" is 3.
  • The lines are parallel.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

When the function is translated down, the slope remains constant, while when the function is reflected over the y-axis, the slope is multiplied by -1, hence both lines will have a slope of 3, and since they have the same slope, they are parallel.

More can be learned about translation concepts at https://brainly.com/question/4521517

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