The necessities of constructing triangles with sss congruence are basically a ruler and a compass. Constructing triangles with sss congruence criteria is possible when all the three sides are known to us. SSS Congruence Rule : If three sides of 1 triangle are similar to the corresponding sides of another triangle, then the triangles are known to be congruent. In this article we are going to discuss the SSS congruence & constructing triangles with sss congruence. RHS Criterion: Right angle- Hypotenuse-Side SAS Criterion: Side-Angle-Side - Two triangles are known to be congruent if two sides and the included angle of one of the triangles are equal to the two sides and the included angle of the other triangle.ĪSA Criterion: Angle-Side- Angle - Two triangles are known to be congruent if two angles and the included side of one of the triangles are equal to two angles and the included side of another triangle. SSS Criterion: Side-Side-Side - Two triangles are known to be congruent if all the sides of any given triangle are equal in measure to all the corresponding sides of the other triangle. There are four main rules of congruence for triangles: They have the same area and have the same perimeter. Congruence is basically denoted by the symbol ≅. Sides: AB is equal to PQ, QR is equal to BC and AC is equal to PR Īngles: ∠A equals ∠P, ∠B equals ∠Q, and ∠C equals ∠R.Ĭongruent triangles are known to be the triangles that have corresponding sides and angles are known to be equal. Vertices: A and P, B and Q, and C and R are the same.
![s s s triangle rule s s s triangle rule](https://learn.digilentinc.com/Documents/Digital/BT01_02_ResistorOhmLaw/OhmTriangle.jpg)
In the figure given below, Δ ABC and Δ PQR are known to be congruent triangles. Therefore, any two triangles can be superimposed side to side and also angle to angle.
![s s s triangle rule s s s triangle rule](http://cetking.com/wp-content/uploads/2017/08/Untitled-1.png)
Two triangles are known to be congruent triangles if their sides have equal length and the angles in the triangle have the same measure. A polygon is generally made of three line segments that form three angles known as a Triangle.