Question

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 12
, centered at the origin.(1 point)
A′
(
) B′
(
)
Incorrect

To dilate the line segment with a scale factor of 12 and a center point at the origin, multiply each coordinate (−6, 4)
by the scale factor.
To dilate the line segment with a scale factor of 12
and a center point at the origin, multiply the coordinate (−8, 2)
by the scale factor.
Remaining Attempts : 2

Answer 1

A dilation centered at the origin multiplies each coordinate by the scale factor k.

- If the scale factor is 1/2:
A' = (−6·1/2, 4·1/2) = (−3, 2)
B' = (−8·1/2, 2·1/2) = (−4, 1)

- If the scale factor is 12:
A' = (−6·12, 4·12) = (−72, 48)
B' = (−8·12, 2·12) = (−96, 24)

Use the pair that matches the intended scale factor (most likely 1/2 if your previous answer was marked incorrect).