Rigid Transformations and Congruence

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure. Examples include translations, rotations, and reflections.

Front

Define translation in geometry.

Back

Translation is a type of rigid transformation that moves every point of a figure the same distance in the same direction.

Front

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

Back

During a translation, you add or subtract a number to the x and y coordinates of the point.

Front

What is a rotation in geometry?

Back

A rotation is a rigid transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle.

Front

What is the center of rotation?

Back

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

Front

What is a reflection in geometry?

Back

A reflection is a rigid 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.

Front

How do you identify congruent figures?

Back

Congruent figures are figures that have the same shape and size, meaning they can be transformed into each other using rigid transformations.

Front

What is the difference between congruence and similarity?

Back

Congruence means figures are the same size and shape, while similarity means figures have the same shape but may differ in size.

Front

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

Back

A 90-degree rotation counterclockwise around the origin transforms the point (x, y) to (-y, x).