Question

Perform a 45 degree rotation of triangle a(0 0) b(1 1) c(5 2) about (-1,-1)

Answer 1

We can find the coordinates of the triangle without necessarily drawing.

We can follow the following steps.

1. Representing the given triangle in matrix form using homogeneous coordinates of the vertices.

2. Identifying the matrix of rotation of 45°.

3. Applying the concept of trigonometric ratios. That is cos 45° = Sin45° = √2/2

4. Getting the rotated triangle A'B'C' by multiplying the matrix of triangle ABC and the matrix of rotation.

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