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 four main types of transformations?

Back

Translation, Rotation, Reflection, and Dilation.

Front

What does it mean to translate a shape?

Back

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

Front

How do you translate a point (x, y) 5 units right and 2 units down?

Back

The new coordinates will be (x+5, y-2).

Front

What is a reflection in geometry?

Back

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

Front

What is the line of reflection?

Back

The line of reflection is the line over which a shape is reflected.

Front

What is a rotation in geometry?

Back

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

Front

What is the angle of rotation?

Back

The angle of rotation is the degree measure of the turn applied to a shape during rotation.

Front

What is the difference between clockwise and counterclockwise rotation?

Back

Clockwise rotation is in the direction of the hands of a clock, while counterclockwise rotation is in the opposite direction.

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a shape but not its shape, using a scale factor.