Introduction to Dilations

​In order for there to be a dilation, each side length has to enlarge or reduce by the same scale factor. So, to determine whether a figure has been dilated, check to see if the ratio of the image to preimage is the same for each of the corresponding sides and corresponding vertices.

Multiple Choice

Quadrilateral MNPQ has side lengths of 15 mm, 24 mm, 21 mm, and 18 mm. Quadrilateral M'N'P'Q' has side lengths of 5 mm, 8mm, 7 mm, and 4 mm. Is this a dilation?

• Yes

• No

Multiple Choice

On a coordinate plane, triangle UVW has coordinates U(20, -12), V(8, 6), and W(-24, -4). Triangle U'V'W' has coordinates U'(15, -9), V'(6, 4.5), and W'(-18, -3). Is this a dilation?

• Yes

• No