Graph △DEF with vertices D(2, 4), E(6, 4), and F(4, 8) and its image after a dilation centered at the origin with a scale factor of 3/2.

A dilation in mathematics is a function f from a metric space M into itself that, for any locations x, y in M, fulfills the identity d=rd, where d is the distance between x and y and r is some positive real number. Such a dilatation is a resemblance of the space in Euclidean space.

Given

D(2,4) *3/2 = D' (3,6)

E(6,4)*3/2 = E'(9, 6)

F(4,8) *3/2 = F'(6,12)

To learn more about dilation refer to:

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Graph △DEF with vertices D(2, 4), E(6, 4), and F(4, 8) and its image after a dilation centered at the origin with a scale factor of 3/2.​

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What is Dilation?

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Graph △DEF with vertices D(2, 4), E(6, 4), and F(4, 8) and its image after a dilation centered at the origin with a scale factor of 3/2.