Rigid Transformations

Learn and practice transforming polygons in the coordinate plane with interactive resources from GeoGebra.

Middle School

GRADES 6-8

Properties of Geometric Figures

Verify how properties and relationships of geometric figures are maintained or how they change through transformations.

Exploration

GR. 6-8

Translating Figures

Practice

GR. 6-8

Angle Measures of Translated Figures

Exploration

GR. 6-8

Angle Measures of Rotated Figures

Reflections in the Coordinate Plane

Locate, given the coordinates of, and graph plane figures which are the results of translations or reflections in all quadrants of the coordinate plane.

Exploration

GR. 6-8

Translating Points to Translate Figures

Exploration

GR. 6-8

Reflecting Points to Reflect Figures

Practice

GR. 6-8

Using a Transformation Rule

Rigid Transformations and Dilations of Plane Figures

Use properties, definitions, and theorems to solve problems about rigid transformations and dilations of plane figures.

Exploration

GR. 6-8

Transforming Points on the Coordinate Plane

Practice

GR. 6-8

Writing Algebraic Rules for Transformations

Practice

GR. 6-8

Describing Transformations Given an Algebraic Rule

Rotations in the Coordinate Plane

Locate, given the coordinates of, and graph plane figures which are the results of rotations (multiples of 90 degrees) with respect to a given point.

Exploration

GR. 6-8

Rotating Points Around the Origin

Practice

GR. 6-8

Predicting the Rotation of Points Around the Origin

Sequence of Transformations on the Coordinate Plane

Describe, or graph plane figures which are the results of a sequence of transformations.

Exploration

GR. 6-8

Exploring a Sequence of Transformations Level 3

Exploration

GR. 6-8

Transforming Points

Practice

GR. 6-8

Transformations Practice 2 (Level 1)

Practice

GR. 6-8

Transformations Practice 2 (Level 2)

Practice

GR. 6-8

Transformations Practice 2 (Level 3)

Practice

GR. 6-8

Transformations Challenge

Transformations in the Coordinate Plane

Transform (translate, reflect, rotate, dilate) polygons in the coordinate plane; describe the transformation in simple algebraic terms.

Practice

GR. 6-8

Reflecting a Polygon Across Axes

Transforming Plane Figures

Use models or points in the coordinate plane to illustrate, recognize, or describe rigid transformations (translations, reflections, and rotations) of plane figures.

Practice

GR. 6-8

Identifying Rigid Transformations

Exploration

GR. 6-8

Describing Horizontal and Vertical Translations of Figures

Exploration

GR. 6-8

Describing Reflections of Figures

Exploration

GR. 6-8

Describing Rotations of Figures

Transforming Points in the Coordinate Plane

Locate, given the coordinates of, and graph points which are the results of rigid transformations in all quadrants of the coordinate plane; describe the path of the motion using geometric models or appropriate terms.

Exploration

GR. 6-8

Translating Points on a Coordinate Plane

Exploration

GR. 6-8

Rotation Description

Practice

GR. 6-8

Describing the Rotation of Triangles

Community Resources

Explore an extensive collection of over one million math and science activities, exercises and lessons meticulously crafted by our global GeoGebra community. Immerse yourself in the boundless possibilities that await you.

Explore more

An illustration depicting an interconnected network of users around the globe

Get started using GeoGebra today

Create a free account so you can save your progress any time and access thousands of math resources for you to customize and share with others

Create an Account

Rigid Transformations

Middle School

Properties of Geometric Figures

Translating Figures

Angle Measures of Translated Figures

Angle Measures of Rotated Figures

Reflections in the Coordinate Plane

Translating Points to Translate Figures

Reflecting Points to Reflect Figures

Using a Transformation Rule

Rigid Transformations and Dilations of Plane Figures

Transforming Points on the Coordinate Plane

Writing Algebraic Rules for Transformations

Describing Transformations Given an Algebraic Rule

Rotations in the Coordinate Plane

Rotating Points Around the Origin

Predicting the Rotation of Points Around the Origin

Sequence of Transformations on the Coordinate Plane

Exploring a Sequence of Transformations Level 3

Transforming Points

Transformations Practice 2 (Level 1)

Transformations Practice 2 (Level 2)

Transformations Practice 2 (Level 3)

Transformations Challenge

Transformations in the Coordinate Plane

Reflecting a Polygon Across Axes

Transforming Plane Figures

Identifying Rigid Transformations

Describing Horizontal and Vertical Translations of Figures

Describing Reflections of Figures

Describing Rotations of Figures

Transforming Points in the Coordinate Plane

Translating Points on a Coordinate Plane

Rotation Description

Describing the Rotation of Triangles

Related Topics

Community Resources

Get started using GeoGebra today