SSS Congruence (Side-Side-Side Congruence)
How to solve SSS congruence problems: postulate, example and its solution (proof).
If three sides of a triangle are congruent to
three sides of another triangle,
then those two triangles are congruent.
Start from the given statements.
Two column proof
C is the midpoint of BD.
So BC ≅ CD.
AC is equal to itself.
So AC ≅ AC.
Three sides of △ABC are congruent to
three sides of △ADC.
Then, by the SSS congruence postulate,
△ABC ≅ △ADC.