In the given figure, ABC and DCB are right angled at A and D respectively and AC=DB. Prove that triangle ABC is congruent to traingle DCB.:



Here is the solution:

Given: Triangles ABC and DCB are right angled at A and D, respectively. AC=DB
To prove: △ABC ≅△DCB
In △ABC and △DCB:
CAB=∠BDC  (90° each)  
BC=BC  (common)
ACDB  (given)
By R.H.S. congruence property:    △ABC ≅△DCB      

Important tip (as per the chapter): Learn and revise all the congruence rules. Solve and practice all the examples and question given in N.C.E.R.T Textbook (Maths). 


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