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

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

Translation of the Plane from the Wolfram Demonstrations Project by Jim Brandt

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.

Reflection in Two Dimensions from the Wolfram Demonstrations Project by Sergio Hannibal Mejia

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.

Rotation in Two Dimensions from the Wolfram Demonstrations Project by Sergio Hannibal Mejia

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