Reflections, Rotations, and Translations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape to create a new shape.

Front

Name the three main types of transformations.

Back

Translation, Reflection, Rotation.

Front

What is a translation?

Back

A translation is a transformation that slides a shape from one position to another without turning or flipping it.

Front

What is a reflection?

Back

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

Front

What is a rotation?

Back

A rotation is a transformation that turns a shape around a fixed point at a certain angle.

Front

What does it mean for shapes to be congruent?

Back

Congruent shapes are identical in shape and size, meaning they can be transformed into one another through translations, rotations, or reflections.

Front

What is the line of reflection?

Back

The line of reflection is the line over which a shape is flipped to create its mirror image.

Front

How do you identify a translation on a graph?

Back

A translation can be identified by observing that all points of the shape move the same distance in the same direction.

Front

What is the effect of a 90-degree rotation on a shape?

Back

A 90-degree rotation turns the shape a quarter turn around the center point.

Front

What is the effect of a 180-degree rotation on a shape?

Back

A 180-degree rotation turns the shape upside down around the center point.