Question

Line AB
contains point A(−4, 1)
and point B (−1, 3)
. Find the coordinates of A′
and B′
after a dilation with a scale factor of 2 with a center point of dilation at the origin.(1 point)
Responses

A′ (8, −2)
and B′ (2, −6)

upper A prime left parenthesis 8 comma negative 2 right parenthesis and upper B prime left parenthesis 2 comma negative 6 right parenthesis

A′ (−8, 2)
and B′ (−2, 6)

upper a prime left parenthesis negative 8 comma 2 right parenthesis and upper b prime left parenthesis negative 2 comma 6 right parenthesis

A′ (−8, 2)
and B′ (2, −6)

upper A prime left parenthesis negative 8 comma 2 right parenthesis and upper B prime left parenthesis 2 comma negative 6 right parenthesis

A′ (−5, −2)
and B′ (−2, 6)

Answer 1

Dilation by factor 2 about the origin multiplies each coordinate by 2.

A′ = 2(−4, 1) = (−8, 2)
B′ = 2(−1, 3) = (−2, 6)

So the correct choice is A′ (−8, 2) and B′ (−2, 6).