 # Congruence & Transformations

Common Core: HSG-CO.B.6

Related Topics:
Common Core (Geometry)
Common Core for Mathematics

Examples, solutions, and lessons to help High School students learn how to use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.

Two figures are congruent if they have the same size and shape.
Two plane figures are congruent if they can be obtained from the other by rigid motions (that is, by a sequence of reflections, translations and/or rotations)

The following diagrams show the transformations that keep the figures congruent (same size and shape). Scroll down the page for more examples and solutions. Congruence Using Transformations: Demonstrate G-CO.6
This video demonstrates congruence using transformations.
The Common Core State Standards for Mathematics are 8.G.2 and G-CO.6.

Congruence Using Transformations: Demo G-CO.6 with a Reflection
This video demonstrates congruence using transformations. This video uses a reflection - because the orientation of triangles are reverses. The Common Core State Standards for Mathematics are 8.G.2 and G-CO.6.
Perform Congruence Transformations
Congruence & Transformations

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

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. 