# Define Transformations

Videos and lessons with examples and solutions to help High School students develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.

Common Core: HSG-CO.A.4

## Translations

Translating an Image on a Grid
How to translate (or slide) an image on a grid board.

Translating an Image on the Coordinate Plane
Notation and instructions for translating an image on a coordinate plane (x,y graph).

Translation in the Coordinate Plane
The red quadrilateral is the image of the blue quadrilateral under translation by the purple vector. Explore the effect of the vector by moving its terminal point. Similarly, adjust the shape of the original blue quadrilateral by moving its vertices

## Reflections

Constructing the Reflection of an Image
Using a compass and straight edge to construct a reflection of a geometric shape.

Finding the Line of Reflection
Using a compass and straight edge to determine the line of reflection of a reflected geometric shape.

Reflection in Two Dimensions
This Demonstration allows you to explore some of the features of rotation in two dimensions. You can drag or add locators to change the shape of the object. You can also see lines joining vertices to their images. You can use a joystick controller to change the position of the mirror's handle and the slider to change the angle of the mirror line.

## Rotations

Finding the Center and Angle of Rotation.

Rotation in Two Dimensions
This Demonstration allows you to explore some of the features of rotation in two dimensions. You can drag or add locators to change the shape of the object. You can also see the lines joining vertices to their images as well as the perpendicular bisectors that intersect at the center of rotation.

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You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.