Transformations

Front

What is a transformation in geometry?

Back

A transformation in geometry 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

The four main types of transformations are translation, rotation, reflection, and dilation.

Front

What does translation mean in the context of transformations?

Back

Translation means moving a shape from one location to another without changing its size, shape, or orientation.

Front

How is a translation represented in coordinate geometry?

Back

A translation is represented by adding or subtracting values to the coordinates of the shape. For example, moving up is represented as y+ and moving left as x-.

Front

What is a reflection in geometry?

Back

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

Front

What is the line of reflection?

Back

The line of reflection is the line over which a shape is reflected, such as the x-axis or y-axis.

Front

What does it mean to reflect a shape over the x-axis?

Back

Reflecting a shape over the x-axis means that for every point (x, y) in the shape, the new point will be (x, -y).

Front

What does it mean to reflect a shape over the y-axis?

Back

Reflecting a shape over the y-axis means that for every point (x, y) in the shape, the new point will be (-x, y).

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a shape around a fixed point, known as the center of rotation.

Front

How is the angle of rotation defined?

Back

The angle of rotation is defined as the degree measure of the turn, which can be clockwise or counterclockwise.