Sequence of 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 is a translation?

Back

A translation is a transformation that moves every point of a shape the same distance in the same direction.

Front

What is a rotation?

Back

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

Front

What is a reflection?

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 to create a mirror image.

Front

What is a dilation?

Back

A dilation is a transformation that changes the size of a shape but not its shape, by a scale factor.

Front

How does a reflection over the y-axis affect the coordinates of a point (x, y)?

Back

A reflection over the y-axis changes the coordinates of a point (x, y) to (-x, y).

Front

How does a reflection over the x-axis affect the coordinates of a point (x, y)?

Back

A reflection over the x-axis changes the coordinates of a point (x, y) to (x, -y).

Front

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

Back

A 90-degree rotation counterclockwise changes the coordinates of a point (x, y) to (-y, x).