A Rotation of 90° About the Origin (Mathematics Lesson)
A 90° Rotation About the OriginA rotation is described by the angle the shape turns about a center of rotation.
The shape above has been rotated 90° clockwise (the angle of reflection) about the origin (0, 0) (the center of rotation).
Real Examples of a Rotation of 90° About the OriginAll of the following shapes have been rotated by 90° clockwise about the origin:
How to Describe 180°, 270° and 360° Rotations About the Origin180°, 270° and 360° rotations about the origin are also commonly examined:
Read more about a 180° rotation about the origin
Read more about a 270° rotation about the origin
Read more about a 360° rotation about the origin
Top Tip90° IS A QUARTER TURN
90° is a quarter turn.
NoteWHAT IS A ROTATION?
A rotation turns a shape around a center.
A rotation is a type of transformation.
HOW TO THINK OF ROTATIONS OF 90° ABOUT THE ORIGIN
Imagine a shape is drawn on a pair of axes on a sheet of paper...
Imagine sticking a pin through the origin and into a surface.
If you span the paper around, the pin would stay in place and every other point on the paper would turn in a circle around it.
By turning the paper a quarter turn, a 90° rotation about the origin will take place.