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Rotate the triangle according to the algebraic representation below. Move the blue points to the new...

Rotate the triangle according to the algebraic representation below. Move the blue points to the new coordinates. (x, y) → (−y, x)

Answer

To rotate the triangle using the transformation (x, y) → (−y, x), apply the transformation to each vertex of the triangle:

For the vertex at (4, 1), the new coordinates are (−1, 4).
For the vertex at (6, 4), the new coordinates are (−4, 6).
For the vertex at (2, −5), the new coordinates are (5, 2).

Move the blue points to these new coordinates on the graph.

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