Geometry - Transformations

A transformation is an operation that moves or changes a shape in some way, such as translation, rotation, reflection, or dilation.

Translation is a transformation that moves every point of a shape the same distance in a specified direction.

A rotation is a transformation that turns a shape around a fixed point, called the center of rotation, by a certain angle.

Reflection is a transformation that flips a shape over a line, creating a mirror image.

Dilation is a transformation that changes the size of a shape but not its shape, using a scale factor.

The scale factor is the ratio of the length of a side of the image to the length of the corresponding side of the original shape.

An enlargement is a transformation that increases the size of a shape, with a scale factor greater than 1.

A reduction is a transformation that decreases the size of a shape, with a scale factor less than 1.

Rotational symmetry is when a shape can be rotated around a center point and still look the same at certain angles.

The angle of rotational symmetry is the smallest angle through which a shape can be rotated to look the same.