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The vertices of / are G(–4, 0), H(5, 2), and I(–2, –3). / is rotated 270° counterclockwise about the origin to form /. What are the coordinates of the vertices of /? A. G’(–4, 0), H’(5, 2), I’(–2, –3) B. G’(0, 4), H’(–2, –5), I’(3, 2) C. G’(0, 4), H’(2, –5), I’(–3, 2) D. G’(4, 0), H’(–5, 2), I’(2, –3)

Answer :

If the point (x, y) is rotated around the origin by 270 degrees counterclockwise, then

Its image is (y, -x)

That means we change the sign of the x-coordinate then switch it with the y-coordinate

Since the vertices of triangle GHI are

G = (-4, 0)

H = (5, 2)

I = (-2, -3)

Change the sign of every x-coordinate, then switch it with the y-coordinates

G' = (0, 4)

H' = (2, -5)

I' = (-3, 2)

The answer is C

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