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

What are the three types of rigid transformations?

Back

Translations, rotations, and reflections.

Front

What does it mean for figures to be congruent?

Back

Figures are congruent if they have the same shape and size, regardless of their position or orientation.

Front

What is a reflection in geometry?

Back

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

Front

What is a rotation in geometry?

Back

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

Front

What is a translation in geometry?

Back

A transformation that slides a figure from one position to another without changing its shape or orientation.

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 reflection across the x-axis on a point (x, y)?

Back

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

Front

What is the effect of a reflection across the y-axis on a point (x, y)?

Back

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

Front

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

Back

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