
State by which rule of congruence is the pair of triangles congruent. (ASA/SSS/RHS)



Important Questions on Congruence of Triangles



In the given figure, . Prove that .

In the given figure, is isosceles in which . If and are the midpoints of and respectively. Prove that .

In the given figure,. Prove that . Is ?

In each pair of triangles below, find the pairs of matching angles and write them down.



In the given figure, triangles are right-angled at and respectively and . Prove that .


In the given figure, and are two points on equal sides and of an isosceles triangle such that . Prove that .

In the given figure, and . Is ? Give reasons in support of your answer.

In the given figure, is an isosceles triangle in which . Also, is a point such that . Prove that bisects and .



In the given figure, is a triangle in which is the bisector of . If , show that is isosceles.


In , , and
A student says that by congruence criterion. Is he justified? Why or why not?

In the given figure, . Prove and hence show that and .

