# Congruent Transformations

Videos, examples, and solutions to help Grade 8 students understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.

Common Core: 8.G.2

### Suggested Learning Targets

• I can define congruency
• I can identify symbols for congruency
• I can apply the concept of congruency to write congruent statements.
• I can reason that a 2-D figure is congruent to another if the second can be obtained by a sequence of rotation, reflections, and translation.
• I can describe the sequence of rotations, reflections, translations that exhibits the congruence between 2-D figures using words.

The following table shows examples of congruence and transformation of figures: translation, rotation, and reflection. Scroll down the page for more examples and solutions. Congruence (8.G.2)
Two figures are congruent if you can translate, rotate, and/or reflect one shape to get the other.

Congruence and Transformations Using congruence transformations, including translation, reflection, and rotation.

Creating a congruent triangle by translation, rotation, reflection

Congruence Using Transformations
This video demonstrates congruence using transformations.

2-dimensional Figure is Congruent to another if it is obtained by the Transformations: translation, reflection, and rotation

8.g.2
The Common Core State Standards (CCSS) videos are designed to support states, schools, and teachers in the implementation of the CCSS. Each video is an audiovisual resource that focuses on one or more specific standards and usually includes examples/illustrations geared to enhancing understanding. The intent of each content-focused video is to clarify the meaning of the individual standard rather than to be a guide on how to teach each standard although the examples can be adapted for instructional use.

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