Question

If you are given a figure, a center of rotation, and an angle of rotation, what steps can you use to draw the image of the figure under the rotation?

Answer 1

Seee explanation

Explanation:

A rotation is a transformation in which the figure is rotated about a fixed point. The direction of rotation can be clockwise or anticlockwise.

The fixed point in which the rotation takes place is called the center of rotation. The amount of rotation made is called the angle of rotation.

Step 1: Draw a ray OA from the center of rotation O to the point A of the figure you wish to rotate.

Step 2: Draw an angle AOB with the center of rotation O as the vertex (this angle should be drawn in clockwise or anticlockwise direction according to direction of rotation).

Step 3: Use a compass to draw a circle (or arc) with the center at O and a radius OA from point O to the point A. This circle will intersect the ray OB at point A' that is the image point of point A.

Step 4: Now rotate all the other points of the figure in the same way and connect all these points to get the image figure.