Explain SSS congruence condition with the help of a diagram.

Asked by Topperlearning User | 19th Nov, 2013, 01:16: AM

Expert Answer:

SSS congruence criterion:

The Side-Side-Side (SSS) congruence criterion states that if under a correspondence, three sides of one triangle are congruent (equal) to three sides of another triangle, then these two triangles are congruent.

Consider the triangles ABC and XYZ:

 

All 3 sides are congruent

ZX = CA (side)

XY = AB (side)

YZ = BC (side)

So, ABC XYZ

Therefore, by the SSS postulate, the triangles are congruent.

Answered by  | 19th Nov, 2013, 03:16: AM