Write the coordinates of the vertices after a dilation with a scale factor of 1/5

The coordinates of the vertices after a dilation with a scale factor of 1/5 are A' = (-1, -2), B' = (2, 0), C' = (1, 2) and D' = (-2, 0)

How to write the coordinates of the vertices after a dilation with a scale factor of 1/5?

The complete question is added as an attachment

From the attached figure, we have the vertices before dilation to be:

A = (-5, -10)

B = (10, 0)

C = (5, 10)

D = (-10, 0)

The scale factor of dilation is given as:

k = 1/5

So, the coordinates of the vertices after a dilation with a scale factor of 1/5 are calculated using

Image = k * Pre-image

This gives

A' = 1/5 * (-5, -10)

B' = 1/5 * (10, 0)

C' = 1/5 * (5, 10)

D' = 1/5 * (-10, 0)

Evaluate the products

A' = (-1, -2)

B' = (2, 0)

C' = (1, 2)

D' = (-2, 0)

Hence, the coordinates of the vertices after a dilation with a scale factor of 1/5 are A' = (-1, -2), B' = (2, 0), C' = (1, 2) and D' = (-2, 0)