Transformations Review

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

What are the four main types of transformations?

Back

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

Front

What is a translation?

Back

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

Front

What is a rotation?

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 reflection?

Back

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

Front

What is a dilation?

Back

A dilation is a transformation that changes the size of a figure but keeps its shape the same.

Front

What does it mean for a transformation to preserve congruence?

Back

A transformation preserves congruence if the original figure and the transformed figure are the same size and shape.

Front

Which transformations preserve congruence?

Back

Translations, rotations, and reflections preserve congruence.

Front

Which transformation does NOT preserve congruence?

Back

Dilations do not preserve congruence because they change the size of the figure.

Front

How does a 90-degree counterclockwise rotation relate to a 270-degree clockwise rotation?

Back

A 90-degree counterclockwise rotation is equivalent to a 270-degree clockwise rotation.