Introduction to Dilations

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The rays through corresponding vertices intersect at the

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What is the length of segment RS?

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What is the length of segment R'S'?

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To find the scale factor, divide the length of R'S' by the length of RS. What is the scale factor?

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Find the scale factor.

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What ordered pair describes the location of A?

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What is the ordered pair that describes the location of A'?

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Find the scale factor by dividing the x-coordinate of the image by the x-coordinate of the preimage. What is the scale factor?

​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