Rotations Reflections and Translations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way, such as translation, rotation, or reflection.

Front

Define translation in geometry.

Back

Translation is a transformation that moves every point of a shape the same distance in a specified direction.

Front

What is reflection in geometry?

Back

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

Front

Define rotation in geometry.

Back

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

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

How do you perform a translation of a point?

Back

To translate a point, add the translation vector's x and y components to the point's coordinates.

Front

What happens to the coordinates of a point (x, y) when it is reflected over the x-axis?

Back

The coordinates become (x, -y).

Front

What happens to the coordinates of a point (x, y) when it is reflected over the y-axis?

Back

The coordinates become (-x, y).

Front

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

Back

The coordinates become (y, -x).

Front

What is the effect of a 180-degree rotation on a point (x, y)?

Back

The coordinates become (-x, -y).