Question

Triangle ABC will be dilated according to the rule (x,y), where point F is the center of dilation. What will be the coordinates of vertex A' of the image? (-8,-4) (-2,-1) (0, 0) (1, 0)

Answer 1

correct answer is (1,0)

Answer 2

To dilate an object using a given scale factor we can multiply the coordinates of the object by the scale factor to get the coordinates of the image. However, this can only be done when the center of dilation is the origin (0,0). For non-origin center of dilation like in our case we have to locate the points of the image by construction in a Cartesian plane using the center and the scale factor. In this case we need to measure the distance of A from a point F (center of dilation) the we multiply it by 0.25 (the scale factor) then using the same path we measure the distance we get to locate point A'. Hence, by so doing point A' will be (1,0).