Table of Contents
- SAS (Side-Angle-Side) Congruence Condition
- Verification of SSA (Side-Side-Angle) Condition
- Summary
- What’s Next?
In the previous segment, we saw Correspondence between Sides and Angles of Congruent Triangles. In this segment, we will learn some more conditions of congruence.
SAS (Side – Angle – Side) Congruence Condition
This condition says that 2 triangles are congruent if 2 sides and the included angle of one triangle are respectively equal to the 2 sides and the included angle of the other triangle.
For example,
In △ABC and △PQR
Given: AB = PQ = 4 cm
BC = QR = 5 cm
m∠ABC = m∠PQR = 40°
Fig 1
Here, ∠ABC and ∠PQR are the included angles which are equal.
Also, the corresponding sides of both the triangles are equal.
Hence, △ABC ≅ △PQR by SAS congruence condition.
Can we determine congruence of two triangles by SSA (Side – Side
– Angle) Condition?
