Question

Dilation of 1/2 about the origin. V(-2), W(0,2), X(2,-1)

A. V'(-1, 1)
B. W'(0, 1)
C. X'(1, -0.5)
D. V'(-1, 2)

Answer 1

The dilation of points V, W, and X with a scale factor of 1/2 results in V'(-1, 0), W'(0, 1), and X'(1, -0.5). The options provided by the student don't match the correct calculation.

Step-by-step explanation:

The student is asking about performing a dilation with a scale factor of 1/2 about the origin on different points. To find the images of the points V(-2, 0), W(0, 2), and X(2, -1) after the dilation, we multiply each coordinate by 1/2:

• V' = (-2 * 1/2, 0 * 1/2) = (-1, 0)
• W' = (0 * 1/2, 2 * 1/2) = (0, 1)
• X' = (2 * 1/2, -1 * 1/2) = (1, -0.5)

From these calculations, we can see that the correct answer for the images after dilation is not provided in the options the student has given. The correct images are V'(-1, 0), W'(0, 1), and X'(1, -0.5).