Question

Select the coordinates A′
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′ (6,14) and B′(−4,3)

A′ (−6,3) and B′ (8,18)

A′ (6,14) and B′(8,18)

A′(3/2,7/2)
and B′(2,9/2)

Answer 1

A′(6,14) and B′(8,18)

Reason: dilation by factor 2 about the origin multiplies each coordinate by 2: (3,7)→(6,14), (4,9)→(8,18).