Rigid Transformations Flashcard

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure, meaning the figure remains congruent to its original form.

Front

What are the three main types of rigid transformations?

Back

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

Front

Define translation in the context of rigid transformations.

Back

Translation is a type of rigid transformation that slides a figure from one position to another without turning it.

Front

What is a rotation in rigid transformations?

Back

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

Front

What does reflection mean in rigid transformations?

Back

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

Front

Identify the transformation: A figure is flipped over the x-axis.

Back

Reflection across the x-axis.

Front

Identify the transformation: A figure is moved 5 units to the right and 3 units up.

Back

Translation.

Front

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

Back

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

Front

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

Back

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

Front

What is the line of reflection?

Back

The line of reflection is the line over which a figure is reflected to create a mirror image.