Transformations: Translations, Rotations, and Reflections

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

What is a translation?

Back

A translation is a transformation that slides a figure from one position to another without turning it.

Front

What is a rotation?

Back

A rotation is a transformation that turns a figure around a fixed point called the center of rotation.

Front

What is a reflection?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

How do you identify a translation on a graph?

Back

A translation can be identified by observing that all points of the figure move the same distance in the same direction.

Front

What happens to the coordinates of a point during a reflection across the x-axis?

Back

The y-coordinate of the point changes sign, while the x-coordinate remains the same.

Front

What happens to the coordinates of a point during a reflection across the y-axis?

Back

The x-coordinate of the point changes sign, while the y-coordinate remains the same.

Front

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

Back

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

Front

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

Back

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