Rigid Transformations Review

Front

What is a rigid transformation?

Back

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

Front

Define translation in geometry.

Back

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

Front

What does it mean to reflect a figure over an axis?

Back

To reflect a figure over an axis means to create a mirror image of the figure across that axis.

Front

What is the result of reflecting a point (x, y) over the y-axis?

Back

The result is the point (-x, y).

Front

What is the result of reflecting a point (x, y) over the x-axis?

Back

The result is the point (x, -y).

Front

What is a rotation in geometry?

Back

A rotation is a rigid transformation that turns a figure about a fixed point at a specified angle.

Front

What is the center of rotation?

Back

The center of rotation is the fixed point around which a figure is rotated.

Front

How do you translate a figure 3 units right and 2 units up?

Back

Add 3 to the x-coordinate and 2 to the y-coordinate of each point in the figure.

Front

What is the image of a figure?

Back

The image of a figure is the result of applying a transformation to the original figure.

Front

What is the difference between a translation and a reflection?

Back

A translation slides a figure without changing its orientation, while a reflection creates a mirror image across an axis.