Question

Which rule describes the action of the coordinates when a figure is dilated by a scale factor of 2?

A) Each coordinate is multiplied by 2.
B) Each coordinate is divided by 2.
C) The x-coordinate is multiplied by 2, and the y-coordinate remains the same.
D) The y-coordinate is multiplied by 2, and the x-coordinate remains the same.

Answer 1

The action of the coordinates when a figure is dilated by a scale factor of 2 is that each coordinate is multiplied by 2.

Step-by-step explanation:

The rule that describes the action of the coordinates when a figure is dilated by a scale factor of 2 is that each coordinate (both the x-coordinate and the y-coordinate) is multiplied by 2. So, the correct answer to which rule describes the action of the coordinates when a figure is dilated by a scale factor of 2 is: Each coordinate is multiplied by 2.

For example, if a point has coordinates (3, 4) before dilation, after the dilation by a scale factor of 2, the new coordinates will be (3×2, 4×2), which is (6, 8). This rule applies to all points in the figure, effectively doubling the distance from the origin and thus enlarging the figure by the scale factor.