Question

The vertices of a kite are shown below.(28 , 0), (56 , 6), (28 , 8), (0 , 6)Which of the following points is a vertex for the image produced by a dilation about the origin with a scale factor of 1/4 ? A. (0 , 1.5) B. (14 , 4) C. (2 , 7)D. (28 , 2)

Answer 1

Given the vertices:

(28, 0), (56, 6), (28, 8), (0, 6)

Given a scale factor 1/4

We are asked to find the dilation about the origin.

To get the dilation, we will multiply the vertices with the scale factor.

(28, 0) * 1/4 = (7, 0)

(56, 6) * 1/4 = (14, 1.5)

(28, 8) * 1/4 = (7, 2)

(0, 6) * 1/4 = (0, 1.5)

The answer is (0, 1.5) because the ordered pair (0, 6) dilated by scale factor of 1/4