Triangle congruence relationships

Hello students, in this answer math problems for free session we are going to read about the triangle congruence relationships. But before discussing it we will discuss Congruent Triangles, it means âˆ†ABC is said to be congruent to ∆DEF only when one of them can be made to superpose on the other (and vice-versa ) so as to cover it exactly. And, we write ∆ABC ≅ âˆ†DEF. The congruence relation for the triangles is:-
-Every triangle is congruent to itself that is âˆ†ABC ≅ âˆ†ABC.
-If ∆ABC ≅ âˆ†DEF then ∆DEF ≅ âˆ†ABC.
-If ∆ABC ≅ âˆ†DEF then ∆DEF ≅ âˆ†PQR, then ∆ABC ≅ âˆ†PQR.
There is some criteria by which we can also show the triangle congruence relationships, the criteria are: -
SAS (side - angle – side): - If two triangles have two sides and the included angle of the one equal to the corresponding sides and the included angle of the other, then the triangle are congruent.
ASA (angle - side – angle): - If two angles and the included side of one triangle are equal to the corresponding two angles and the included side of the other triangle, then the two triangles are congruent.
AAS (angle – angle – side): -If two angles and any side of a triangle are equal to the corresponding angles and side of another triangle than the two triangles are congruent.
SSS (side – side – side): - if the three sides of one triangle are equal to the corresponding three sides of another triangle than the two triangles are congruent.
RHS (Right – angle – Hypotenuse – Side): - Two right angled triangles are congruent if one side and the Hypotenuse of the one are respectively equal to the corresponding side and the Hypotenuse of the other.
Above discussion helps Grade XII students to understand Triangle congruence relationships.

In upcoming posts we will discuss about Basic constructions and Types of events. Visit our website for information on CBSE 10th science syllabus