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Triangle Rotation

ACTMAT-EOQJGM

$ {\Delta}ABC$, with $A(3,4)$, $B(1,2)$, and $C(5,-2)$ is to be rotated $180°$ about the origin to form $ {\Delta}A’B’C’$.

What are the coordinates of $C’$?

A

$(5,2)$

B

$(2,5)$

C

$(-2,5)$

D

$(-2,-5)$

E

$(-5,2)$