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Dilations

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Write the ordered pairs for each coordinate. Use the scale factor to determine the coordinates of the transformed figure. Write the ordered pairs using arrow notation and graph the dilated image.

See attached file for graphs to go along with each problem.

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Solution Summary

This solution explains how to find dilation of a shape using a scale factor to determine the coordinates of the transformed figures provided in the attachment. Ordered pairs are written using arrow notation, and dilated images are graphed. Step by step calculations of given.

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Please see attached for the graphs to go along with each problem.

Solution:
Given points are K(-4,4), L(4,4), M(4,-4) and N(-4,-4)
A dilation of scalar factor k whose center of dilation is the origin may be written:
Dk (x, y) = (kx, ky).
After dilation, points will be K'(-8,-8), L'(8,8), M'(8,-8) and N'(-8,-8).
K(-4,4)-> K'(-8,-8)
L(4,4)-> L'(8,8)
M(4,-4)-> M'(8,-8)
N(-4,-4)-> N'(-8,-8).

Solution:
Given points are P(0,-4), Q(8,-4), R(8,-8) and S(0,-8).
A dilation of scalar factor k ...

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  • MPhil, Institute of Advanced Studies
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