Question

What rule describes a dilation with a scale factor of 1/2 and the center of dilation at orgin.

Answer 1

Explanation:

When we dilate a point by a scale factor "a" and the center of the dilation is the origin, the original point (x,y) changes as follows:

`(x,y)\rightarrow(ax,by)`

Each coordinate value is multiplied by the scale factor.

In this case, the scale factor is 1/2:

`a=(1)/(2)`

Therefore, the transformation rule is:

`(x,y)\rightarrow((1)/(2)x,(1)/(2)y)`

This rule is shown in option C.

Answer:

C.