Question

Find the congruency criteria for $\Delta AOB$ and $\Delta COD$.

Answer 1

In $\Delta AOB$ and $\Delta COD$,

AO = OC
($\because \text{Marked equal in the figure}$)

AB = CD
($\because \text{Marked equal in the figure}$)

$\angle AOB=\angle COD$
($\because \text{Right angles}$)

When the hypotenuse and one side of a right-angled triangle are equal to the hypotenuse and the corresponding side of another right-angled triangle, the two triangles are congruent by hypotenuse-leg congruency.

$\therefore \Delta AOB\cong \Delta COD$ by hypotenuse-leg congruency.