Graph the image of △CDE after a dilation with a scale factor of 1/4, centred at the origin.

The scale factor of a dilation is the ratio of a length in the image to the corresponding length in the original figure.

This dilation is centred at the origin, so you can find the image by multiplying the x- and y-coordinates by the scale factor.

Multiply the coordinates of point C(–8,0)by 14.The image is C‘(–2,0).

Now multiply the coordinates of point D(4,0) by 1/4. The image is D‘(1,0).

Now multiply the coordinates of point E(–8,–8) by 1/4.The image is E‘(–2,–2).The dilated points form a triangle similar to △CDE.

Graph the image of △BCD after a dilation with a scale factor of 1/3, centred at the origin.

The scale factor of a dilation is the ratio of a length in the image to the corresponding length in the original figure.

This dilation is centred at the origin, so you can find the image by multiplying the x- and y-coordinates by the scale factor.

Multiply the coordinates of point B(–9,0)by 1/3.The image is B‘(–3,0).

Now multiply the coordinates of point C(9,0) by 1/3. The image is C‘(3,0).

Now multiply the coordinates of point D(–9,6) by 1/3.The image is D‘(–3,2).

The dilated points form a triangle similar to △BCD.

Graph the image of rectangle RSTU after a dilation with a scale factor of 1/5, centred at the origin.

The scale factor of a dilation is the ratio of a length in the image to the corresponding length in the original figure.

This dilation is centred at the origin, so you can find the image by multiplying the x-and y-coordinates by the scale factor.

Multiply the coordinates of point R(0,5) by 1/5. The image is R‘(0,1).

Now multiply the coordinates of point S(10,5) by 1/5. The image is S‘(2,1).

Now multiply the coordinates of points T(10,10) and U(0,10) by 15. The images are T‘(2,2) and U‘(0,2).

The dilated points form a rectangle similar to RSTU.