Question

Write down the steps and the composite matrix for rotating 30° about point (1,2).

Answer 1

To rotate a point 30° about a fixed point (1,2), you can use a composite matrix transformation.

Step-by-step explanation:

To rotate a point 30° about a fixed point (1,2), we can use a composite matrix transformation. The steps are as follows:

Translate the point (1,2) to the origin by subtracting the coordinates of the fixed point.

Apply a rotation of 30° to the translated point.

Translate the rotated point back to the original position by adding the coordinates of the fixed point.

The composite matrix for rotating a point 30° about (1,2) is:

[cos(30°) -sin(30°) 1]

[sin(30°) cos(30°) 2]

[0 0 1]