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Consider a triangle A(0,0), B(1, 1) and C(5, 2). The triangle has to be rotated by an angle of 45$^o$ about the point P(-1, -1). What shall be the coordinates of new triangle?

- $A' = (1, \sqrt{2}-1), B'(-1, 2\sqrt{2}-1) \text{ and } C'=\bigl(3 \sqrt{2} -1, \frac{9}{2} \sqrt{2}-1 \bigr)$
- $A' = (1, \sqrt{2}-1), B'(2\sqrt{2}-1, -1) \text{ and } C'=\bigl(3 \sqrt{2} -1, \frac{9}{2} \sqrt{2}-1 \bigr)$
- $A' = (-1, \sqrt{2}-1), B'(-1, 2\sqrt{2}-1) \text{ and } C'=\bigl(3 \sqrt{2} -1, \frac{9}{2} \sqrt{2}-1 \bigr)$
- $A' = (\sqrt{2}-1,-1) B'(-1, 2\sqrt{2}-1) \text{ and } C'=\bigl(3 \sqrt{2} -1, \frac{9}{2} \sqrt{2}-1 \bigr)$

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