Question

Triangle PQR has its vertices at the following coordinates:

P(5,-4) Q(3,-5) R(1,-1)

Give the coordinates of the image triangle P'Q'R' after a 90° counterclockwise rotation about the origin.

Answer 1

The coordinates of the image after $90$° counterclockwise rotation about the origin are $P'(4, 5), Q'(5, 3)$, and $R'(1, 1)$.

When a point is rotated $90$° in counterclockwise rotation about the origin, the coordinates of $(x,y)$ changes to $(-y,x)$.

So, $P(5,-4)$ will become $P'(4,5)$.

$Q(3,-5)$ will become $Q'(5,3)$.

$R(1,-1)$ will become $R'(1,1)$.

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