Table of Contents
Class 9 Condition for Congruence of Triangles – Example
Table of Contents
- SSS (Side – Side – Side) Congruence Condition
- AAA Condition
- Summary
- What’s Next?
In the previous segment, we proved the Converse of the Isosceles Triangle Theorem. In this segment, we will see the SSS conditions for congruence.
What is the SSS (Side – Side – Side) congruence condition?
SSS congruence condition says that if 3 sides of a triangle are respectively equal to the three sides of another triangle, the triangles will be congruent.
Consider two triangles, △ABC and △PQR.
Fig 1
Here,
AB = PQ = 3 units BC = QR = 5 units AC = PR = 7 units
Thus, these two triangles are congruent as all the three sides of the triangles are equal.
△ABC ≅ △PQR.
Can two triangles be determined congruent using AAA (Angle – Angle – Angle) condition?
Also Read: properties of Triangle