Question

Question 152 (i)

In the given figure, $\angle 1=\angle 2$ and $\angle 3=\angle 4$
Is $\Delta ADC\cong \Delta ABC$? Why?

Answer 1

In $\Delta ADC$ and $\Delta ABC$, $\angle 1=\angle 2$ [given]
AC = AC [common side]
$\angle 3=\angle 4$ [given]
By ASA congruence criterion, $\Delta ADC\cong \Delta ABC$