what is a reflection in math

In mathematics, a reflection is a type of geometrical transformation that flips an object to create a mirror or congruent image. It is one of the four basic transformations in geometry, along with translation, rotation, and dilation or resizing. Reflection maintains the size and shape of the object, unlike dilation, which changes the size of the shape. A reflection in math definition is the mirror image of a figure over a line or point, known as the line of reflection or reflection point. Every point in the reflected image is the same distance from the line or point of reflection as its corresponding point in the original figure. To find the reflection of an object, one should focus on the line or point of reflection. The central line is called the mirror line, and it can be in any direction. In a Euclidean space, the reflection in the point situated at the origin is the same as vector negation).