Rigid Transformations

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 three types of rigid transformations?

Back

The three types of rigid transformations are translations, rotations, and reflections.

Front

What is a translation in geometry?

Back

A translation is a type of transformation that slides a figure from one position to another without turning it.

Front

How do you describe a rotation?

Back

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

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image of the original figure.

Front

What does it mean to translate a shape left 2 and up 9?

Back

It means to move the shape 2 units to the left and 9 units upward on the coordinate plane.

Front

What is the effect of a 90-degree clockwise rotation on a point (x, y)?

Back

The effect of a 90-degree clockwise rotation on a point (x, y) is to transform it to the point (y, -x).

Front

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

Back

The effect of a reflection over the x-axis on a point (x, y) is to transform it to the point (x, -y).

Front

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

Back

The effect of a reflection over the y-axis on a point (x, y) is to transform it to the point (-x, y).

Front

How can you identify a shape and its image after a reflection?

Back

You can identify a shape and its image after a reflection by checking if the image is a mirror image of the original shape across a specific line.