What Are Transformations?

What Are Transformations?

A transformation is a change of a shape.

A transformation can change a shape's position, orientation and its size.

Types of Transformations

There are 4 types of transformations:

Translation (or Slide)

A translation moves a shape.

A translation is a slide of a shape (without rotating, reflecting or resizing it).

The diagram below shows a triangle before (light blue) and after (dark blue) being translated:

Each point on the shape moves the same direction and distance (shown by the arrow).

Read more about translations

Reflection (or Flip)

A reflection makes a shape a mirror image of itself.

A reflection flips a shape in a line (called the line of reflection).

The diagram below shows a triangle before (light blue) and after (dark blue) being reflected:

Each point in the image (the reflection) is the same perpendicular distance from the line of reflection (in this case, the y-axis) as the corresponding point in the object.

Read more about reflections

Rotation (or Turn)

A rotation turns a shape.

A rotation turns a shape around a point (called the center of rotation).

The diagram below shows a triangle before (light blue) and after (dark blue) being rotated:

Each point on the rotated triangle is the same distance from center of rotation as the corresponding point on the original shape.

Read more about rotations

Enlargement

An enlargement makes a shape larger (or smaller).

An enlargement resizes a shape about a point (called the center of enlargement).

The diagram below shows a triangle before (light blue) and after (dark blue) being enlarged:

The enlarged shape is twice as large as the original shape. The length of the line drawn from the center of enlargement to each point on the enlarged triangle is twice the length of the line drawn from the center to the corresponding point on the original shape.

Read more about enlargements

See Also

What is geometry? What is a translation? What is a reflection? What is a rotation? What is an enlargement?