Question

In the given figure, triangles $ABC$ and $DCB$ are right angled at $A$ and $D$ respectively and $AC$ $=$ $DB$, then $\Delta$ $ABC$ $\cong \Delta$ $DCB$ of from.

• A. $AAA$
• B. $SAS$
• C. $RHS$
• D. None of these

Answer 1

The correct option is C $RHS$

Considering the triangles

$\Delta ABC$ and $\Delta DCB$

$AC=DB$ ....Given

$\angle BAC=\angle CDB={90}^{\circ }$

$BC=BC$ .....Common Hypotenuse

So, by $RHS$ congruency

$\Delta ABC$ $\cong$ $\Delta DCB$

Corresponding sides and angles of congruent triangles are also equal.