Question

Line AB contains point A(1, 2) and point B (−2, −1). Find the coordinates of A′ and B′ after a dilation with a scale factor of 5 with a center point of dilation at the origin.(1 point)

Answer 1

To find the coordinates of the points A′ and B′ after the dilation, we can multiply the coordinates of points A and B by the scale factor of 5.

For point A:

A′ = (1 * 5, 2 * 5)
A′ = (5, 10)

For point B:

B′ = (-2 * 5, -1 * 5)
B′ = (-10, -5)

Therefore, the coordinates of A′ are (5, 10) and the coordinates of B′ are (-10, -5) after a dilation with a scale factor of 5 with a center point of dilation at the origin.