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

Name the four main types of transformations.

Back

Translation, Reflection, Rotation, Dilation.

Front

What is a translation?

Back

A translation moves a shape from one location to another without changing its size, shape, or orientation.

Front

What is a reflection?

Back

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

Front

What is a rotation?

Back

A rotation turns a shape around a fixed point at a certain angle.

Front

What is dilation?

Back

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

Front

How do you perform a reflection over the x-axis?

Back

To reflect a point (x, y) over the x-axis, the new point will be (x, -y).

Front

How do you perform a reflection over the y-axis?

Back

To reflect a point (x, y) over the y-axis, the new point will be (-x, y).

Front

What happens to the coordinates of a point during a translation?

Back

The coordinates of a point are changed by adding the translation vector to the original coordinates.

Front

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

Back

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