Learn Class 7 Math - Congruence of Triangles

The term triangle refers to a closed figure that includes three sides, vertices, and angles.

The congruent triangles are always equal in shape. Different properties state the unity of a triangle.

Different types of triangles

• Isosceles angle triangle:

  The isosceles triangle is a triangle whose two among three sides are equal.

• Equilateral triangle:

  The equilateral triangle is a triangle whose all the sides are equal. And it forms a 60° angle.

Congruence theorems

Different theorems prove the congruence of a triangle. These theorems are discussed here below:

1. SAS:

   The SAS property refers to Side-Angle-Side. This theorem makes the triangle congruent with one angle and two sides.

2. AAS:

   The SAS property refers to Side-Angle-Side. This theorem makes the triangle congruent with one angle and two sides.

3. SSS:

   The SSS property refers to Side - Side - Side. It makes the triangle congruent when its three sides are equal to the other triangle.

4. ASA:

   The ASA property refers to Angle - Side - Angle. It makes the triangle congruent when it's one alongside, and two angles are equal.

These all theorems will make the triangle congruent.