# Dilations on a Square Grid

Suppose point A = (1, 2) is dilated about C(0,0) with scale factor 2. Suppose point B = (4, 1) is dilated about C(0,0) with scale factor 2.

———————————————————————————————————————————————————

Investigating Dilations.

(A). Find the dilation of quadrilateral ABCD with center P and scale factor 2.

(B). Find the dilation of triangle QRS with center T and scale factor 2.

(C). Find the dilation of triangle QRS with center T and scale factor .

———————————————————————————————————————————————————

Explore Dilations.

(A). Match number cards with letter cards. One of the number cards will not have a match. For this card, you’ll need to draw an image in the next app. You click on to find a magnifying glass if you need help.

(B). One of the number cards in the activity above will not have a match. Draw the image following the specified dilation here below.

———————————————————————————————————————————————————

Solving Problems on Dilation.

———————————————————————————————————————————————————

Point C is the dilation of point B with center of dilation A and scale factor s . Estimate s . Explain your reasoning.

———————————————————————————————————————————————————

Using center of dilation  and scale factor 1.5, dilate the circle shown on the diagram below. The diagram shows some points to try dilating.

The image of a circle under dilation is a circle when the center of the dilation is the center of the circle. What happens if the center of dilation is a point on the circle?