Identifying Transformations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape.

Front

What are the three main types of transformations?

Back

The three main types of transformations are translation, reflection, and rotation.

Front

Define translation in geometry.

Back

Translation is a transformation that moves every point of a shape the same distance in the same direction.

Front

Define reflection in geometry.

Back

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

Front

Define rotation in geometry.

Back

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

Front

What is the effect of a translation on a shape?

Back

A translation shifts the shape without changing its size, shape, or orientation.

Front

What happens to a shape during a reflection?

Back

During a reflection, the shape is flipped over a line, resulting in a mirror image.

Front

What is the center of rotation?

Back

The center of rotation is the fixed point around which a shape is turned during a rotation.

Front

How do you identify a rotation transformation?

Back

A rotation can be identified by the angle of rotation and the direction (clockwise or counterclockwise) around a center point.

Front

What is the difference between a reflection and a rotation?

Back

A reflection flips a shape over a line, while a rotation turns a shape around a point.