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Searching for ## Congruence, Similarity, and Symmetry

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Algebra Foundations

You will learn about similarity and congruence and how they relate to proportion.

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After completing this tutorial, you will be able to complete the following:

- Define congruency for triangles.
- Know the side-angle-side, angle-side-angle, and side-side-side congruency theorems.

What are congruent triangles?

~ Triangles with congruent corresponding sides and angles are congruent triangles.

The Animation includes three tests for triangle congruency. What are the statements of these tests?

~ 1. In any two triangles, if the consecutive sides are the same length and the measurements of the angles between them are the same, then the triangles are congruent. This is called side-angle-side congruency.

2. In any two triangles, if the measurements of two corresponding angles and the lengths of the common sides are equal, then the triangles are congruent. This called angle-side-angle congruency.

3. In any two triangles, if the lengths of the three corresponding sides are equal, then the triangles are congruent. This is called side-side-side congruency.

Approximate Time | 2 Minutes |

Pre-requisite Concepts | Students should be familiar with the following terms: angle side angle congruency, congruent triangles, and side angle side congruency. |

Course | Algebra Foundations |

Type of Tutorial | Animation |

Key Vocabulary | angle side angle congruency, congruent triangles, side angle side congruency |