Question

dilate the line segment by a scale factor of 2 with a center of dilation at the origin. Draw the dilated segment on the provided graph.

Answer 1

Answer:

  See attached

Step-by-step explanation:

Each point on the line segment moves to 2 times its previous distance from the origin.

Invariant point

The center of dilation, the origin, is an invariant point. It doesn't move for any dilation factor. One end of the line segment is there, so it will not move.

Dilated points

The coordinates of each point are multiplied by the dilation factor. The other end of the line segment is (5, 5), so it moves to 2×(5, 5) = (10, 10).

The dilated line segment extends from (0, 0) to (10, 10). It is shown in red in the attached graph.