Translations, Reflections, & Rotations

Front

What is a translation in geometry?

Back

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

Front

How do you represent a translation mathematically?

Back

A translation can be represented as (x + a, y + b), where (a, b) is the distance moved in the x and y directions.

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure 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 figure is reflected, and each point on the figure is equidistant from this line.

Front

What is a rotation in geometry?

Back

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

Front

How do you determine the angle of rotation?

Back

The angle of rotation is the degree measure of the turn from the original position to the new position.

Front

What is the center of rotation?

Back

The center of rotation is the fixed point around which a figure is rotated.

Front

What happens to the coordinates of a point (x, y) when it is rotated 90° counterclockwise about the origin?

Back

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

Front

What happens to the coordinates of a point (x, y) when it is rotated 180° about the origin?

Back

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

Front

What happens to the coordinates of a point (x, y) when it is rotated 270° counterclockwise about the origin?

Back

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