Question

# Which congruence criterion do you use in the following?Given: EB$$=$$BD, AE$$=$$CB, $$\angle$$A$$=\angle$$C$$=90^o$$. So $$\Delta$$ABE$$\equiv \Delta$$CDB.

Solution

## By RHS congruence criterion, since it is given that EB$$=$$BD, AE$$=$$CB, $$\angle$$A$$=\angle$$C$$=90^o$$Hypotenuse and one side of a right angled triangle are respectively equal to the hypotenuse and one side of another right angled triangle.Therefore, $$\Delta$$ABE$$\cong\Delta$$CDB.MathematicsNCERTStandard VII

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