Hey, Alexus. A translation simply moves the graph, or preimage, without changing the size or spinning the image. So a rectangle that is 2 units wide and 4 units tall will stay that size, and will still "stand up straight" after being translated.
A reflection flips the preimage across some line.
A rotation spins the preimage around a point.
A dilation either expands or shrinks the preimage. Find the difference between the coordinates of the center of dilation and the coordinates of each corner of the preimage. Then multiply each of these differences by the scale factor.
example: to dilate the rectangle with corners at points (0,0), (1,0), (1,2), and (0,2) by a scale factor of 2, with a center of dilation (2,2):
points:
(0,0) 20=2 and 2x2=4, 24=2; 20=2 and 2x2=4, 2  (4)=2
SO the point (0,0) is dilated to the point (2,2)
(1,0) is dilated to (0,2);
(1,2) is dilated to (0,2);
(0,2) is dilated to (2,2).
May 25

Daly J.
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