Question

Line A contains point A(-4,1) and point B(-1,3). Find the coordinates of A' and B' after a dilation with a scale factor of 2 with a center point of dilation at the origin.

Answer 1

To find the coordinates of A' and B' after a dilation with a scale factor of 2 and a center point of dilation at the origin, we can multiply the coordinates of each point by the scale factor.

For point A(-4,1), the coordinates of A' can be found by multiplying each coordinate by 2:
(2 * -4, 2 * 1)
(-8, 2)

For point B(-1,3), the coordinates of B' can be found by multiplying each coordinate by 2:
(2 * -1, 2 * 3)
(-2, 6)

Therefore, the coordinates of A' are (-8, 2) and the coordinates of B' are (-2, 6).