Transformations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way on a coordinate plane.

Front

What are the four main types of transformations?

Back

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

Front

What does it mean to translate a shape?

Back

To translate a shape means to slide it from one position to another without changing its size, shape, or orientation.

Front

What is a rotation?

Back

A rotation is a transformation that turns a shape around a fixed point, called the center of rotation.

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 the center of rotation?

Back

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

Front

How do you determine the direction of rotation?

Back

The direction of rotation can be clockwise (to the right) or counter-clockwise (to the left).

Front

What are coordinates?

Back

Coordinates are a set of values that show an exact position on a coordinate plane, typically represented as (x, y).

Front

What are the coordinates of the origin in the coordinate plane?

Back

The coordinates of the origin are (0, 0).

Front

What is the difference between clockwise and counter-clockwise rotation?

Back

Clockwise rotation moves in the direction of a clock's hands, while counter-clockwise rotation moves in the opposite direction.