Question

Select the coordinates A′
and B′
after dilation of the line segment AB
with a scale factor of 13
, centered at the origin where the endpoints are A(−6,3)
and B(−12,9)
.(1 point)
Responses

A′(−18,9)
and B′(−36,27)

upper A prime left parenthesis negative 18 comma 9 right parenthesis and upper B prime left parenthesis negative 36 comma 27 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′(−2,1)
and B′(−4,3)

Answer 1

A′(−2,1) and B′(−4,3)

Explanation: Dilation about the origin by scale factor 1/3 multiplies each coordinate by 1/3: A(−6,3) → (−6/3, 3/3) = (−2,1); B(−12,9) → (−12/3, 9/3) = (−4,3).