Understanding Transformations in Geometry

Front

Transformation

Back

a shape’s position, size, or orientation

Front

Translation

Back

a shape without rotating or flipping

Front

Reflection

Back

a shape over a line (mirror image)

Front

Rotation

Back

a shape around a fixed point

Front

Dilation

Back

a shape by a scale factor

Front

Line of reflection

Back

line where a shape is flipped in reflection

Front

Center of rotation

Back

fixed point a shape rotates around

Front

Scale factor

Back

used to enlarge or reduce a shape in dilation

Front

Translation rule example

Back

latex="(x, y) \rightarrow (x+3, y-2)">

Front

Back

latex="(x, y) \rightarrow (-y, x)">