Question

quadrilateral abcd is dilated with the origin as the center of dilation to create quadrilateral abcd. (x,y)→(1/2 x,1/2 y) (x,y)→(3x - 5,3y - 5) (x,y)→(x,5/2 y) (x,y)→(2x,2y) clear all

Explanation:

Step1: Recall dilation rule

Dilation with center at the origin has the form $(x,y)\to(kx,ky)$ where $k$ is the scale - factor.

Step2: Observe the size change

The image $A'B'C'D'$ is larger than the pre - image $ABCD$. The distance between corresponding points from the origin has doubled. For example, if we consider a vertex of $ABCD$ and its corresponding vertex of $A'B'C'D'$, the coordinates of the image are twice the coordinates of the pre - image.

Answer:

D. $(x,y)\to(2x,2y)$