How do you dilate a rectangle with points $(6,3), (2,3) (6,9) (2,9)$ by a scale factor of .5 with $6,3$ as the center of dilation?

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Answer 1 · 2018-06-08T11:41:48

$color(maroon)("Coordinates of the dilated rectangle are "$

$color(crimson)((6,3), (4,3), (6,7), (4,7)$

$A(6,3), B(2,3), C(6,9), D(2,9), " dilated about " E(6,3) " by factor "1/2$

$A'((x),(y)) = .5a + .5 e = .5*((6),(3)) + .5 * ((6),(3)) = ((6),(3))$

$B'((x),(y)) = .5b + .5 e = .5*((2),(3)) + .5 * ((6),(3)) = ((4),(3))$

$C'((x),(y)) = .5c + .5 e = .5*((6),(9)) + .5 * ((6),(3)) = ((6),(7))$

$D'((x),(y)) = .5d + .5 e = .5*((2),(9)) + .5 * ((6),(3)) = ((4),(7))$

$color(maroon)("Coordinates of the dilated rectangle are "$

$color(crimson)((6,3), (4,3), (6,7), (4,7)$

How do you dilate a rectangle with points (6,3), (2,3) (6,9) (2,9)(6,3), (2,3) (6,9) (2,9) by a scale factor of .5 with 6,36,3 as the center of dilation?