Question

Graph the image of this figure after a dilation with a scale factor of 1/3 centered at the origin

Answer 1

YOUR WELCOMMMM

Explanation:

Answer 2

The dilation of a figure with a scale fator k means that the distance of each point of the image from the center of dilation will be k times the distance of the original figure from the center of dilation.
Also the length of each two points of the image is k times the length of each two points of the original figure.

From the given figure, the vertices of the original triangle are (-3, 3), (6, 6) and (3, 9).

The vertices of the image of this figure after a dilation with a scale factor of 1/3 centered at the origin is given by


`(1)/(3) (-3, 3),\ (1)/(3) (6, 6)\ and\ (1)/(3) (3, 9) \\ \\ =(-1,1),\ (2,2)\ and\ (1,3)`

Therefore, the verties of the image of this figure after a dilation with a scale factor of 1/3 centered at the origin are (-1, 1), (2, 2) and (1, 3).