Triangle Congruence

Triangle congruence refers to a situation where two triangles are exactly the same in size and shape. This means all their corresponding sides are equal length, and all their corresponding angles are equal measure. When two triangles are congruent, you can place one directly over the other, and they will match perfectly. There are specific criteria, such as Side-Angle-Side (SAS), Angle-Side-Angle (ASA), and others, that help determine if two triangles are congruent without measuring all sides and angles. This concept is fundamental in geometry for proving properties and solving problems involving triangles.