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 is a reflection in geometry?

Back

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

Front

What is a translation?

Back

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

Front

What is a rotation?

Back

A transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle.

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same shape and size, which can be shown through rigid transformations.

Front

What is the line of reflection?

Back

The line over which a figure is reflected; each point on the figure is the same distance from the line as its image.

Front

What is the center of rotation?

Back

The fixed point around which a figure rotates during a rotation transformation.

Front

How do you identify a reflection across the x-axis?

Back

In a reflection across the x-axis, the y-coordinates of the points change sign, while the x-coordinates remain the same.

Front

How do you identify a reflection across the y-axis?

Back

In a reflection across the y-axis, the x-coordinates of the points change sign, while the y-coordinates remain the same.

Front

What is the notation for congruence?

Back

The symbol for congruence is ≅.