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, rotation, and reflection.

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 rotation in geometry.

Back

Rotation is a transformation that turns a shape around a fixed point, called the center of rotation, by a certain angle.

Front

Define reflection in geometry.

Back

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

Front

What is the effect of a translation on a shape?

Back

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

Front

What happens to a shape during a rotation?

Back

During a rotation, the shape turns around a fixed point, and the distance from the center of rotation to any point on the shape remains constant.

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 can you identify a rotation transformation?

Back

A rotation can be identified by the angle of rotation and the center of rotation.

Front

How can you identify a reflection transformation?

Back

A reflection can be identified by the line of reflection and the symmetry of the resulting shape.