The required pairs of coordinates are [tex]\left[\begin{array}{ccc}1&1&-3\\-1&2&2\end{array}\right][/tex]
What changes happened when rotate 90° counter clockwise ?
If we rotate a triangle 90° counter clockwise about the origin,
Then if one of its vertices be (x, y), it will be changed to (-y, x).
What is the required rotated vertex ?
After rotating the given triangle 90° counter-clockwise about the origin,
The vertex (-1, -1) becomes (1, -1)
The vertex (2, -1) becomes (1, 2)
So, the vertex (2, 3) will be (-3, 2)
∴ The required rotated vertices are [tex]\left[\begin{array}{ccc}1&1&-3\\-1&2&2\end{array}\right][/tex]
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