Under this criterion of congruence- when two equal sides and one equal angle forms the two similar sides, it will result in triangles appearing similar.īy this property a triangle declares congruence with each other - If two sides and the involved interior angle of one triangle is equivalent to the sides and involved angle of the other triangle. The property is based on making a triangle congruent depending on how many sides and angles of equal measures make a congruent pair.

Thus, the Triangles will be congruent based on certain properties that are as follows. In a similar vein, different various groups of three will do the needful. But the fact is you need not know all of them to prove that two triangles are congruent with each other. What’s amazing is that no matter how you keep flipping it, the other triangle i.e “DEF” will rotate to remain in congruence to triangle “ABC” and vice-e-versa.Įasiest Way to Find if the Triangle is CongruentĮvery triangle is typically represented by 6 measures i.e. The angle at “B” measures the same (in degrees) as the angle at “E”, while the side “BA” is the same length as the side “ED” etc. In the simple case above, the two triangles ABC and DEF are congruent as each of their corresponding sides are equal, and all corresponding interior angles have the same measure. In simple terms, any object when laid over its other counterpart appears to be the same figure or Xerox copies of each other are congruent.

Though the triangles will have the same shape and size, one will appear as a mirror image of the other. So, what are congruent triangles? Triangles are said to be in congruence when every corresponding side and interior angles are congruent (of the same length). The common variants are isosceles, equilateral, scalene, etc. As a plane enclosed figures with 3-sides, segments - “triangles” are of different types based upon their sides and angles.

Sas congruence theorem