Line AB contains point A(−4,%C2%A01) and point B%C2%A0(−1,%C2%A03) . 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′%C2%A0(−8,%C2%A02)%C2%A0 and%C2%A0B′%C2%A0(2,%C2%A0−6) %C2%A0 upper A prime left parenthesis negative 8 comma 2 right parenthesis and%C2%A0 upper B prime left parenthesis 2 comma negative 6 right parenthesis A′%C2%A0(−8,%C2%A02)%C2%A0 and%C2%A0B′%C2%A0(−2,%C2%A06) upper a prime left parenthesis negative 8 comma 2 right parenthesis and%C2%A0 upper b prime left parenthesis negative 2 comma 6 right parenthesis A′%C2%A0(−5,%C2%A0−2)%C2%A0 and%C2%A0B′%C2%A0(−2,%C2%A06) %C2%A0 upper A prime left parenthesis negative 5 comma negative 2 right parenthesis and%C2%A0 upper B prime left parenthesis negative 2 comma 6 right parenthesis A′%C2%A0(8,%C2%A0−2)%C2%A0 and%C2%A0B′%C2%A0(2,%C2%A0−6) %C2%A0 upper A prime left parenthesis 8 comma negative 2 right parenthesis and%C2%A0 upper B prime left parenthesis 2 comma negative 6 right parenthesis Skip to navigation page 20 of 20

Question

Line  AB  contains point  A(−4,%C2%A01)  and point  B%C2%A0(−1,%C2%A03) . 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′%C2%A0(−8,%C2%A02)%C2%A0 and%C2%A0B′%C2%A0(2,%C2%A0−6) %C2%A0 upper A prime left parenthesis negative 8 comma 2 right parenthesis and%C2%A0 upper B prime left parenthesis 2 comma negative 6 right parenthesis  A′%C2%A0(−8,%C2%A02)%C2%A0 and%C2%A0B′%C2%A0(−2,%C2%A06) upper a prime left parenthesis negative 8 comma 2 right parenthesis and%C2%A0 upper b prime left parenthesis negative 2 comma 6 right parenthesis  A′%C2%A0(−5,%C2%A0−2)%C2%A0 and%C2%A0B′%C2%A0(−2,%C2%A06) %C2%A0 upper A prime left parenthesis negative 5 comma negative 2 right parenthesis and%C2%A0 upper B prime left parenthesis negative 2 comma 6 right parenthesis  A′%C2%A0(8,%C2%A0−2)%C2%A0 and%C2%A0B′%C2%A0(2,%C2%A0−6) %C2%A0 upper A prime left parenthesis 8 comma negative 2 right parenthesis and%C2%A0 upper B prime left parenthesis 2 comma negative 6 right parenthesis Skip to navigation page 20 of 20

Bot GPT 3.5 · Answer

The coordinates of point A after dilation with a scale factor of 2 and a center point of dilation at the origin can be found by multiplying the x-coordinate and y-coordinate of A by the scale factor: A'(-4 * 2, 1 * 2) = (-8, 2) Similarly, the coordinates of point B after dilation with a scale factor of 2 and a center point of dilation at the origin can be found by multiplying the x-coordinate and y-coordinate of B by the scale factor: B'(-1 * 2, 3 * 2) = (-2, 6) So the correct response is: A'(-8, 2) and B'(-2, 6)