Line segment AB has endpoints A (−6, 4) and B (−8, 2). Find the coordinates of A′ and B′ after a dilation with a scale factor of 1/2, centered at the origin.

Question

A′ ( ) B′ ( )

Answer 1

To find the coordinates of A' and B' after a dilation with a scale factor of 1/2, centered at the origin, we need to multiply the x and y coordinates of A and B by the scale factor.

For A (-6, 4):
The x coordinate of A' = -6 * (1/2) = -3
The y coordinate of A' = 4 * (1/2) = 2

Therefore, the coordinates of A' are (-3, 2).

For B (-8, 2):
The x coordinate of B' = -8 * (1/2) = -4
The y coordinate of B' = 2 * (1/2) = 1

Therefore, the coordinates of B' are (-4, 1).