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 geometry.

Back

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

Front

What does a translation do to an image?

Back

Slides it without changing its shape or size.

Front

What is reflection in geometry?

Back

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

Front

Define rotation in geometry.

Back

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

Front

What is the effect of reflecting over the x-axis?

Back

The y-coordinates of the points are inverted, while the x-coordinates remain the same.

Front

What happens when you reflect a figure over the y-axis?

Back

The x-coordinates of the points are inverted, while the y-coordinates remain the same.

Front

What is the result of rotating a figure 90 degrees clockwise?

Back

The coordinates of each point are transformed according to the rule (x, y) -> (y, -x).

Front

What does it mean to translate a figure 5 units down?

Back

Every point of the figure moves 5 units in the negative y-direction.

Front

What is the difference between translation and reflection?

Back

Translation slides a figure without changing its orientation, while reflection flips it over a line.