Congruent triangles are two triangles that have the same size and shape. This means that all corresponding sides and angles are equal.
There are several ways to determine if two triangles are congruent. The most common method is by using the side-angle-side (SAS) congruence postulate, which states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.
Congruent triangles have the same size and shape, while similar triangles have the same shape but can be different sizes. In congruent triangles, corresponding sides and angles are equal, while in similar triangles, corresponding angles are equal but corresponding sides are proportional.
No, congruent triangles must have the same angles in addition to the same side lengths. If two triangles have different angles, they are not congruent.
Understanding angles in congruent triangles is important in geometry and other fields of science, as it helps us to determine and prove shapes and patterns in various structures. It also lays the foundation for more complex mathematical concepts and problem-solving skills.
