Basic Transformations

Front

What is a Transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape.

Front

What are the four main types of transformations?

Back

Translation, Rotation, Reflection, Dilation.

Front

What is Translation?

Back

Translation is a transformation that slides a shape from one position to another without turning it.

Front

What is Rotation?

Back

Rotation is a transformation that turns a shape around a fixed point, called the center of rotation.

Front

What is Reflection?

Back

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

Front

What is Dilation?

Back

Dilation is a transformation that changes the size of a shape but keeps its proportions the same.

Front

What does it mean to translate a shape?

Back

To translate a shape means to move it horizontally, vertically, or both, without changing its size or orientation.

Front

How do you identify a Reflection?

Back

A reflection can be identified by finding a line (the line of reflection) where each point of the shape is equidistant from the line.

Front

What is the effect of a 90° clockwise rotation on a point (x, y)?

Back

The new coordinates will be (y, -x).

Front

What is the effect of a 90° counterclockwise rotation on a point (x, y)?

Back

The new coordinates will be (-y, x).