Dilations on a Circular Grid

Here are Circles $$c$$ and $$d$$ . Point $$O$$ is the center of dilation, and the dilation takes Circle $$c$$ to Circle $$d$$ . Plot a point on Circle $$c$$ . Label the point $$P$$ . Plot where $$P$$ goes when the dilation is applied and label the point $$P'$$ .

Here are Circles $$c$$ and $$d$$ . Point $$O$$ is the center of dilation, and the dilation takes Circle $$c$$ to Circle $$d$$ . Plot a point on Circle $$d$$ . Label the point $$Q'$$ . Plot the point that the dilation takes to $$Q'$$ and label it $$Q$$ .

Dilate each vertex of triangle $$ABC$$ using $$P$$ as the center of dilation and a scale factor of 2. Draw the triangle connecting the 3 new points.

Dilate each vertex of triangle $$ABC$$ using $$P$$ as the center of dilation and a scale factor of $$\frac 1 2$$ . Draw the triangle connecting the 3 new points.