Question

Question 4
In $\Delta ABC,\angle A={30}^{\circ },\angle B={40}^{\circ }and\angle C={110}^{\circ }$
In $\Delta PQR,\angle P={30}^{\circ },\angle Q={40}^{\circ }and\angle R={110}^{\circ }$
A student says that $\Delta ABC\cong \Delta PQR$ by AAA congruence criterion. Is he justified? Why or why not?

Answer 1

No, because the two triangles with equal corresponding angles need not be congruent. In such a correspondence, one of them can be an enlarged copy of the other.