Rigid Transformations

Front

What is a rigid transformation?

Back

A transformation that preserves the shape and size of a figure, including translations, rotations, and reflections.

Front

Define translation in the context of rigid transformations.

Back

A transformation that moves every point of a figure the same distance in the same direction.

Front

What is a rotation?

Back

A rigid transformation that turns a figure around a fixed point at a specified angle.

Front

What is reflection in geometry?

Back

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

Front

What does it mean for a transformation to be 'rigid'?

Back

It means that the transformation does not alter the size or shape of the figure.

Front

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

Back

Reflection across the x-axis.

Front

Identify the transformation: A square is turned 90 degrees clockwise around its center.

Back

90 degrees clockwise rotation.

Front

What is the effect of a 180-degree rotation on a point (x, y)?

Back

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

Front

What is the difference between a rotation and a reflection?

Back

A rotation turns a figure around a point, while a reflection flips it over a line.

Front

What is the result of translating a point (3, 4) by (2, -1)?

Back

The new point will be (5, 3).