Find the correct algebraic representation of the dilation shown below. a- (1/2x,1/2y)
b-(2/7x,2/7y)
c-(7/2x,7/2y)
d-(7x,7y)

Given:

The diagram of triangle DEF and triangle D'E'F' on a coordinate plan.

To find:

The algebraic representation of the dilation.

Solution:

The vertices of triangle DEF are D(0,7), E(7,-7) and F(-7,-7).

The vertices of triangle D'E'F' are D'(0,2), E(2,-2) and F(-2,-2).

We know that, the dilation factor is:

For point D' the y-coordinate is 7 and for point D the y-coordinate is 2. So,

The rule of dilation is:

The algebraic representation of the dilation is .

Therefore, the correct option is b.

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step-by-step explanation: