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Answer :

Consider that a rotation of 180° around the origin is given by the following transformation:

(x,y) => (-x,-y)

In the given image you can notice that figure AJG has the following vertices:

A(-4,4)

J(-3,0)

G(0,3)

after the rotation you obtained:

A(-4,4) => A'(4,-4)

J(-3,0) => J'(3,0)

G(0,3) => G'(0,-3)

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