Question

Graph each image as well as the figure after each dilation with the origin as it's center and the given scale factor.

X(-3, 1), Y(-1, 2), Z(2, 1) K = 2​

Answer 1

Explanation:

To perform a dilation with a center at the origin and a scale factor of 2, we multiply each coordinate by 2.

For point X(-3, 1):

x-coordinate: -3 * 2 = -6

y-coordinate: 1 * 2 = 2

So the image of point X after the dilation is X'(-6, 2).

For point Y(-1, 2):

x-coordinate: -1 * 2 = -2

y-coordinate: 2 * 2 = 4

So the image of point Y after the dilation is Y'(-2, 4).

For point Z(2, 1):

x-coordinate: 2 * 2 = 4

y-coordinate: 1 * 2 = 2

So the image of point Z after the dilation is Z'(4, 2).

Graph of the original triangle XYZ:

Y(0, 2)

/\

/ \

/____\

X(0, 0) Z(3, 0)

Graph of the triangle after dilation

Y'(-2, 4)

/\

/ \

/____\

X'(-6, 0) Z'(4, 0)

its hard