Question

What are the coordinates of the image of point B, after the segment has been dilated by a scale factor of 3 with a center of dilation at the origin? On a coordinate plane, line segment A B has points (negative 6, 8) and (negative 3, 3). (–9, 9) (9, –9) (–1, 1) (1, –1)

Answer 1

Answer: (–9, 9)

Step-by-step explanation:

if the original point (x,y) gets dilated by a scale factor 'k' with a center of dilation at the origin, then

The coordinates of the image point are (kx, ky).

Given: The coordinates of  line segment A B are A(-6,8) and B(-3,3).

then , the coordinates of B after dilation by scale factor of 3 with a center of dilation at the origin,

$(-3,3)\to(3(-3),3(3))\\\\\Rightarrow\ (-3,3)\to(-9,9)$

Hence, the coordinates of the image of point B, after the segment has been dilated by a scale factor of 3 with a center of dilation at the origin = (–9, 9).