Question

Graph the image of this figure after a dilation with a scale factor of 3 centered at the origin.

Use the polygon tool to graph the dilated figure.

Answer 1

now, the coordinates of the image of the figure after dilation is:

(-6 , -3)

(3 , -3)

(3 , -9)

(-6 , -9)

Explanation:

Answer 2

Given: scale factor k = 3

The coordinate of the given figure is:

(-2 , -1) , (1, -1) , (1, -3) and (-2, -3)

The rule of dilation with scale factor k centered at the origin:-

`(x, y) \rightarrow (kx , ky)`

now, the coordinates of the image of the figure after dilation is:

`(-2, -1) \rightarrow (3\cdot -2 , 3 \cdot -1)` = (-6 , -3)

`(1, -1) \rightarrow (3\cdot 1 , 3 \cdot -1)` = (3 , -3)

`(1, -3) \rightarrow (3\cdot 1 , 3 \cdot -3)` = (3 , -9) and

`(-2, -3) \rightarrow (3\cdot -2 , 3 \cdot -3)` = (-6 , -9)

You can see the image as shown below in the figure.