Rotations Reflections and Translations

Front

What is a rotation in geometry?

Back

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

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 is a translation in geometry?

Back

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

Front

What is the angle of rotation for a 90 degrees clockwise rotation?

Back

A 90 degrees clockwise rotation turns the figure 90 degrees to the right.

Front

What is the angle of rotation for a 180 degrees rotation?

Back

A 180 degrees rotation turns the figure upside down.

Front

What is the angle of rotation for a 270 degrees counterclockwise rotation?

Back

A 270 degrees counterclockwise rotation turns the figure 90 degrees to the right.

Front

What does it mean to reflect a figure across the x-axis?

Back

Reflecting a figure across the x-axis means that each point of the figure is flipped over the x-axis, changing the sign of the y-coordinate.

Front

What does it mean to reflect a figure across the y-axis?

Back

Reflecting a figure across the y-axis means that each point of the figure is flipped over the y-axis, changing the sign of the x-coordinate.

Front

What are the three main types of transformations in geometry?

Back

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

Front

How do you identify a reflection transformation?

Back

A reflection transformation can be identified by the presence of a line of symmetry where the original figure and its image are mirror images.