Question

In ∆ABC, altitudes BD and CE are equal then ∆DCB ≅ ∆EBC by ………….. congruence

A) A.S.A. 

B) S.A.S. 

C) S.S.S. 

D) R.H.S.

Answer 1

Correct option is (D) R.H.S.

In triangles \(\triangle DCB\;and\;\triangle EBC,\)

\(\angle BCD=\angle CEB\)  (Right angle)

BC = BC       (Common side)

BD = CE         (Given both altitudes are equal)

\(\therefore\) \(\triangle DCB\cong \triangle EBC\)    (By RHS congruence criteria)

Answer 2

Correct option is  D) R.H.S.