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 to produce a new shape.

Front

What are the three main types of transformations?

Back

The three main types of transformations are translations, rotations, and reflections.

Front

Define translation in geometry.

Back

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

Front

What is a 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.

Front

What is the angle of rotation for a full turn?

Back

360°.

Front

How do you reflect a point over the x-axis?

Back

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

Front

What happens to the coordinates of a point when it is translated 3 units to the right and 2 units up?

Back

The new coordinates will be (x + 3, y + 2).

Front

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

Back

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

Front

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

Back

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