Question

Does rotation preserve distance?

Answer 1

Answer:

A rotation of a point around a center of rotation, moves the point a distance around a circle around the center that goes through the point. The distance is given by the angle of the rotation multiplied by the distance from center. So why do rotations preserve distance and angles when the distance measure is Pythagorean.

Answer 2

• As we know that distance can be preserved under a rotation.

• Also, the orientation is preserved by rotation. in rotation segments lengths remain as it is.

• We preserve the length and the angle measurement when we rotate a shape about a point.

• When a polygon is traversed clockwise, A rotated image is likewise traversed clockwise.

• A rotation preserves distances.

• As we know rotation is an isometry, it is a rigid transformation.