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

Define translation in geometry.

Back

Translation is a transformation that moves every point of a shape the same distance in the same direction.

Front

What is a rotation?

Back

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

Front

What does reflection mean in geometry?

Back

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

Front

What is the rule for reflecting a point (x, y) over the y-axis?

Back

The rule is (x, y) -> (-x, y).

Front

How do you rotate a point 180° about the origin?

Back

To rotate a point (x, y) 180° about the origin, the new coordinates are (-x, -y).

Front

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

Back

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

Front

What is the effect of a 270° counterclockwise rotation on a point (x, y)?

Back

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

Front

How do you translate a point (x, y) by (2, -1)?

Back

The new coordinates will be (x + 2, y - 1).