Transformations in Geometry

Front

Definition of Transformation

Back

A transformation is a change in the position, size, or orientation of a shape on a coordinate plane. The shape before the transformation is called the pre-image, and the shape after the transformation is the image.

Front

Types of Basic Transformations

Back

Translation (Slide) and Reflection (Flip)

Front

Translation Rule Example

Back

Move right 3 units and up 2 units: (x, y) → (x + 3, y + 2)

Front

Translation Example

Back

Point A(2, 4) → A'(5, 6)

Front

Reflection Example

Back

Point B(3, -5) reflected over the x-axis → B'(3, 5)

Front

Coordinate Plane

Back

A plane containing an x-axis and a y-axis

Front

180° Rotation Rule

Back

Front

Effect of Rotation on Orientation

Back

Orientation changes.

Front

Effect of Rotation on Position

Back

Position changes.

Front

Effect of Dilation on Size

Back

Size changes.