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

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

Front

What does it mean to translate a point?

Back

To translate a point means to move it from one location to another without changing its shape or size.

Front

If a point (x,y) is translated vertically by k units, what is the new point?

Back

The new point will be (x, y+k).

Front

If a point (x,y) is translated horizontally by k units, what is the new point?

Back

The new point will be (x+k, y).

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 for a point reflected over the y-axis?

Back

The line of reflection is the y-axis itself.

Front

What happens to the coordinates of a point (x,y) when it is reflected over the x-axis?

Back

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

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 a rotation.