Question

enlargement
reduction
what is the scale factor? *
1/3
1/2
2
3
4
if c = (-2,2) what is the coordinate of c? *
(-2, 2)
(-4, 4)
(-6, 6)
(-8, 8)

Explanation:

Step1: Identify transformation type

The image of point A to A' shows that the distance from the center of dilation has increased, so it is an enlargement.

Step2: Determine scale - factor

Let's assume the center of dilation is the origin (not given in the problem but a common case). If we consider a general point (x,y) and its image (x',y') after dilation with scale - factor k, the formula is (x',y')=(kx,ky). By observing the relative distance of the points from the center of dilation (not shown but can be inferred from the change in position), we can see that the distance of the image from the center is 2 times the distance of the original point from the center. So the scale - factor k = 2.

Step3: Find the new coordinate

Given point C=(-2,2) and scale - factor k = 2. Using the dilation formula (x',y')=(kx,ky), we substitute x=-2, y = 2, and k = 2. So x'=2×(-2)=-4 and y'=2×2 = 4. The coordinate of C' is (-4,4).

Answer:

1. Enlargement
2. C. 2
3. B. (-4, 4)