Triangles are congruent if all three sides and angles are equal. There are generally five methods that you can use to prove congruency between triangles. The Side-Side-Side (SSS) method tells us that if all the sides of both triangles are equal then the triangles are congruent. The Side-Angle-Side (SAS) method tells us that if each triangle has two sides and an included angle that are equal, you have congruent triangles. The Angle-Side-Angle (ASA) method tells us that if both triangles possess two angles and included side that are equal, the triangles are congruent. The Angle- Angle -Side (AAS) method tells us that if two angles and the non-included side are equal between the triangles, they are congruent. If you have two right triangles and they have the same hypotenuse and either leg is equal between them, they are congruent. This is called the HL (Hypotenuse-Leg) method.

What is Triangle Congruence? Algebra rules let us learn that we make triangle by three sides and three angles. Also, geometry tell us that the sum of all three angles of triangles is 180 degree. Triangles has various types and the congruent triangles are one of them. To make this triangle, we need the same size and shape. When we flip, turn or rotate two triangles, they will still a congruent triangles. If we have two triangles with the same sides, such triangles must have the same angles too. Then, you can still call them a congruent triangle. We can recognize congruent triangles by knowing the sides of two triangles. When the angle between the two sides of a triangle are congruent to its sides and the angle between the another, it means both of the triangles are congruent. Similarly, if we talk about two triangles, they will also be the congruent triangle. The condition will be; The two sides and their angles must be congruent to two angles and the sides of the other triangles. You can call these triangles a congruent. Last but not least, if one triangle's two angles and its non-included side are congruent to the same angles and the sides of another triangle, it means the triangle will be the congruent one. These worksheets explains how to use congruency to find the measure of part of a triangle, and how to use measurements to draw congruent triangles.