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If figure PQRS is dilated using a scale factor of 0.5 with the center of dilation at (0,0) , what are the coordinates of the vertices of the image P’Q’R’S?

If figure PQRS is dilated using a scale factor of 05 with the center of dilation at 00 what are the coordinates of the vertices of the image PQRS class=

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hannahchaney
the answer is d! you find this by multiplying all the coordinates with .5 aka your scale factor.
Riia

First we have to find the coordinates of P, Q , R and S .

And the coordinate of P is (2,2), Q is (6,4), R is (6,8) and S is (2,8) .

The given scale factor is 0.5

To find the coordinates of the quadrilateral after dilattion, we have to multiply each coordinate by 0.5 that is

[tex] P = (0.5*2, 0.5*2) =(1,1)
\\
Q =(0.5*6, 0.5*4) = (3,2)
\\
R =(0.5*6, 0.5*8) = (3,4)
\\
S = (0.5*2, 0.5*8) = (1,4) [/tex]

Correct option is D

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