Rigid Transformations

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 after the transformation.

Front

What are the three types of rigid transformations?

Back

The three types of rigid transformations are translation, rotation, and reflection.

Front

Define translation in the context of rigid transformations.

Back

Translation is a rigid transformation that slides a figure from one position to another without changing its shape, size, or orientation.

Front

What is rotation in rigid transformations?

Back

Rotation is a rigid transformation that turns a figure around a fixed point, known as the center of rotation, by a certain angle.

Front

Explain reflection in rigid transformations.

Back

Reflection is a rigid transformation that flips a figure over a line, known as the line of reflection, creating a mirror image.

Front

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

Back

During a translation, the coordinates of each point of the figure are shifted by a fixed distance in a specified direction.

Front

How does a 90-degree rotation affect the coordinates of a point in the Cartesian plane?

Back

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

Front

What is the effect of reflecting a point across the x-axis?

Back

Reflecting a point (x, y) across the x-axis results in the point (x, -y).

Front

Can a rigid transformation change the orientation of a figure?

Back

Yes, reflection changes the orientation of a figure, while translation and rotation do not.

Front

What is the line of reflection?

Back

The line of reflection is the line over which a figure is flipped during a reflection transformation.