Reflections, Rotations, Translations

Front

What is a reflection in geometry?

Back

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

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.

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 line of reflection?

Back

The line of reflection is the line over which a figure is reflected, serving as the 'mirror'.

Front

How do you determine the angle of rotation?

Back

The angle of rotation is determined by how far the figure is turned around the center of rotation, measured in degrees.

Front

What is the center of rotation?

Back

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

Front

What are the properties of reflections?

Back

Reflections preserve distance and angle measures, meaning the reflected image is congruent to the original figure.

Front

What are the properties of rotations?

Back

Rotations preserve distance and angle measures, and the rotated image is congruent to the original figure.

Front

What are the properties of translations?

Back

Translations preserve distance, angle measures, and orientation, resulting in a congruent image.

Front

How do you perform a reflection over the x-axis?

Back

To reflect a point (x, y) over the x-axis, the new point will be (x, -y).