Transformations Review

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

Define reflection in geometry.

Back

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

Front

What is the line of reflection for a reflection across 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 across the x-axis?

Back

The coordinates become (x, -y).

Front

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

Back

The coordinates become (-x, y).

Front

What is a translation in geometry?

Back

A translation is a transformation that slides a figure in a straight line from one position to another without changing its shape or orientation.

Front

Define rotation in geometry.

Back

Rotation is a transformation that turns a figure around a fixed point, called the center of rotation.

Front

What is the effect of a 90-degree rotation counterclockwise on the point (x, y)?

Back

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

Front

What is the effect of a 180-degree rotation on the point (x, y)?

Back

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