Question

Select the coordinates A′
and B′
after dilation of the line segment AB
with a scale factor of 1/3
, centered at the origin where the endpoints are A(−6,3)
and B(−12,9)
.(1 point)
Responses

A′(−2,1)
and B′(−4,3)

upper A prime left parenthesis negative 2 comma 1 right parenthesis and upper B prime left parenthesis negative 4 comma 3 right parenthesis

A′(−6,3)
and B′(−4,3)

upper A prime left parenthesis negative 6 comma 3 right parenthesis and upper B prime left parenthesis negative 4 comma 3 right parenthesis

A′(−2,1)
and B′(−12,9)

upper A prime left parenthesis negative 2 comma 1 right parenthesis and upper B prime left parenthesis negative 12 comma 9 right parenthesis

A′(−18,9)
and B′(−36,27)

Answer 1

Scale by 1/3 about the origin: multiply each coordinate by 1/3.
A' = (1/3·(−6), 1/3·3) = (−2, 1)
B' = (1/3·(−12), 1/3·9) = (−4, 3)

So A′(−2,1) and B′(−4,3).