rigid transformation

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's dimensions remain unchanged.

Front

What are the types of rigid transformations?

Back

The types of rigid transformations include translations, rotations, and reflections.

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 rotating or flipping 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, by a certain angle.

Front

What is reflection in rigid transformations?

Back

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

Front

How does a 90-degree clockwise rotation affect a figure?

Back

A 90-degree clockwise rotation turns the figure 90 degrees to the right around the origin.

Front

What happens to a figure when it is reflected across the x-axis?

Back

When a figure is reflected across the x-axis, the y-coordinates of its points change sign, while the x-coordinates remain the same.

Front

What is the effect of reflecting a figure across the y-axis?

Back

Reflecting a figure across the y-axis changes the sign of the x-coordinates of its points, while the y-coordinates remain unchanged.

Front

Describe the result of a 180-degree rotation about the origin.

Back

A 180-degree rotation about the origin turns the figure upside down, changing the signs of both the x and y coordinates.

Front

What is the significance of the center of rotation?

Back

The center of rotation is the fixed point around which a figure rotates during a rotation transformation.