Question

Dilate rectangle WXYZ with W(3,9), X(9,9), Y(9,6), and Z(3,6) using a scale factor of 1/3. What are the coordinates of Y?

a. (1, 3)
b. (3, 2)
c. (3, 6)
d. (1, 2)

Answer 1

To dilate the rectangle WXYZ with a scale factor of 1/3, you can find the coordinates of Y by multiplying the x and y coordinates by 1/3.

Step-by-step explanation:

To dilate a rectangle using a scale factor, you need to multiply the x and y coordinates of each vertex by the scale factor. In this case, the given scale factor is 1/3. So, to find the new coordinates of Y, you multiply the x coordinate by 1/3 and the y coordinate by 1/3:

x-coordinate of Y: 9 * 1/3 = 3

y-coordinate of Y: 6 * 1/3 = 2

Therefore, the coordinates of Y after dilating the rectangle WXYZ with a scale factor of 1/3 are (3, 2).