Which rules are used to prove that triangles are congruent?

Solution:

Triangles are very important and interesting shapes that have very interesting properties. One of the important properties is the congruency of triangles. There are various methods by which two triangles can be proved congruent. Let's discuss them in this blog.

Triangles have six rules of congruency. These are:

• ASA - Angle-Side-Angle Congruency: In this case, two triangles having two equal angles and an equal side between the angles are said to be congruent.
• SSS - Side-Side-Side Congruency: In this case, two triangles having all equal sides are said to be congruent.
• AAA - Angle-Angle-Angle Congruency: Here, two triangles having all equal angles are said to be congruent.
• AAS - Angle-Angle-Side Congruency: Here, two triangles having two equal angles and one equal side are said to be congruent.
• SAS - Side-Angle-Side COngruency: Here, two triangles having two equal sides and one equal angle between the sides are said to be congruent.

Hence, triangles have six rules of congruency: ASA, SSS, AAA, AAS and SAS.

Which rules are used to prove that triangles are congruent?

Summary:

Triangles have six rules of congruency: ASA, SSS, AAA, AAS and SAS.