Question

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

Answer 1

To find the coordinates of A' and B', we first need to find the coordinates of A' and B' after the dilation.

Coordinates of A' after dilation:
x-coordinate of A' = x-coordinate of A * scale factor
y-coordinate of A' = y-coordinate of A * scale factor

x-coordinate of A' = -4 * 2 = -8
y-coordinate of A' = 1 * 2 = 2

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

Coordinates of B' after dilation:
x-coordinate of B' = x-coordinate of B * scale factor
y-coordinate of B' = y-coordinate of B * scale factor

x-coordinate of B' = -1 * 2 = -2
y-coordinate of B' = 3 * 2 = 6

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

Thus, A' has coordinates (-8, 2) and B' has coordinates (-2, 6) after the dilation with a scale factor of 2 with the center point of dilation at the origin.