Select the coordinates A′

Question

and B′
after dilation of the line segment AB
with a scale factor of 2, centered at the origin where the endpoints are A(3,7)
and B(4,9)
.(1 point)
Responses

A′(3/2,7/2) and B′(2,92)

A′(6,14) and B′(8,18)

A′(6,14) and B′(−4,3)

A′(−6,3) and B′(8,18)

Answer 1

To find the coordinates after a dilation of a line segment with a scale factor of 2 centered at the origin, you multiply each coordinate of the points by the scale factor.

For point A(3, 7):

• A' = (3 * 2, 7 * 2) = (6, 14)

For point B(4, 9):

• B' = (4 * 2, 9 * 2) = (8, 18)

So the coordinates after the dilation are: A'(6, 14) and B'(8, 18).

The correct response is: A′(6,14) and B′(8,18).