What Are Reflections and Rotations?
In mathematics, a transformation is when you change the position or direction of a shape without changing its size or what it looks like. Two of the most important transformations are reflections and rotations. Both move shapes around, but they do it in completely different ways.
What Is a Reflection?
A reflection is like creating a mirror image of a shape. When you reflect a shape, you flip it across a line called a mirror line (or line of symmetry). The shape ends up on the opposite side of the line, and it looks like it's been flipped.
Imagine you draw a triangle on one side of a piece of paper, then fold the paper in half. The crease is your mirror line. When you unfold it, the triangle's reflection appears on the other side, facing the opposite direction.
Think of it like: looking in a bathroom mirror. Your reflection is the same size and shape as you, but it's flipped—your left hand becomes your right hand in the mirror.
What Is a Rotation?
A rotation is when you spin a shape around a fixed point, called the centre of rotation. The shape turns like a wheel spinning around an axle. You need 3 things to describe a rotation: the centre point, the direction (clockwise or anticlockwise), and the angle (how many degrees it turns).
Common rotations are 90 degrees, 180 degrees, and 270 degrees. A 360-degree rotation brings the shape all the way around to where it started.
Think of it like: spinning a pizza plate on your finger. The pizza doesn't flip over—it just turns around the centre point until it faces a new direction.
Key Differences
The easiest way to remember the difference: reflections flip shapes across a line, while rotations spin shapes around a point. When you reflect a shape, it reverses—like a mirror image. When you rotate a shape, it just turns, staying exactly the same but facing a different direction. Both transformations keep the shape's size and angles the same—they only change where the shape is.