Class 9 Condition for Congruence of Triangles – Example
Table of Contents
- SSS (Side – Side – Side) Congruence Condition – Example
- Summary
- What’s Next?
In the previous segment, we learned about SSS condition for congruence. In this segment, we will see an example of SSS condition for congruence.
SSS (Side – Side – Side) Congruence Condition – Example
Q. Prove that △ABC ≅ △CDA and also m∠ABC = m∠CDA
Fig 1
| No. | Statement | Reason |
| 1 | AB = CD | Given |
| 2 | BC = DA | Given |
| 3 | CA = AC | Common Side |
| 4 | ∴ △ABC ≅ △CDA | SSS condition |
As the triangles are congruent to each other even the angles ∠ABC and ∠CDA are congruent because
corresponding angles of congruent triangles are congruent.
Also Read: properties of Triangle
