Question

A dilation has center (0, 0). Find the image of each point for the given scale factor. C(0,4); D(12)(1/2)(C)

A. (4,0)
B. (0,2)
C. (12, 0)
D. (12, 4)

Answer 1

The image of point C(0, 4) for the given scale factor of 1/2 and center (0, 0) is (0, 2).

Step-by-step explanation:

A dilation is a transformation that changes the size but not the shape of a figure. In this case, the center of dilation is at (0, 0) and the scale factor is 1/2. To find the image of point C(0, 4), we multiply the coordinates of C by the scale factor.

The x-coordinate of the image is 0 × (1/2) = 0.

The y-coordinate of the image is 4 × (1/2) = 2.

Therefore, the image of point C is (0, 2), which corresponds to option B.