Triangles `A B C\ a n d\ D B C\ ` have side `B C` common, `A B=B D\ a n d\ A C=C Ddot` Are the two triangles congruent? State in symbolic form. Which congruence condition do you use? Does`\ /_\ A B D\ e q u a l\ /_\ A C D ?` Why or why not?

In two triangles A B C\ a n d\ A D C , if A B=A D\ a n d\ B C=C Ddot Are they congruent?

DeltaA B C is isosceles with A B=A Cdot Also. A D_|_B C meeting B C in Ddot Are the two triangles A B D\ a n d\ A C D congruent? State in symbolic form. Which congruence condition do you use? Which side of A D C equals B D ? Which angle of DeltaA D C equals /_B ?

In triangle A B C\ a n d\ C D E , if A C=C E ,\ B C=C D ,\ /_A=60^0,\ /_C=30^0\ a n d\ /_D=90^0dot Are two triangle congruent?

In two triangles A B C\ a n d\ D E F , it is given that /_A=/_D ,\ /_B=/_E and /_C=/_Fdot Are the two triangles necessarily congruent?

In two congruent triangles A B C\ a n d\ D E F , if A B=D E\ a n d\ B C=E Fdot Name the pairs of equal angles.

Triangles A B C and P Q R are both isosceles with A B=A C and P Q=P R respectively. If also, A B=P Q\ a n d\ B C=Q R , are the two triangles congruent? Which condition do you use? If /_\ B=\ 50^0, what is the measure of /_R ?

Line-segments A B\ a n d\ C D bisect each other at Odot\ A C\ a n d\ B D are joined forming triangles A O C\ a n d\ B O Ddot State the three equality relations between the parts of the two triangles that are given or otherwise known. Are the two triangles congruent? State in symbolic form, which congruence condition do you use?

A B C\ a n d\ D B C are both isosceles triangles on a common base B C such that A\ a n d\ D lie on the same side of B Cdot Are triangles A D B and A D C congruent? Which condition do you use? If /_B A C=40^0\ a n d\ /_B D C\ =100^0;\ then find \ /_A D B

In Figure, A D=B C\ a n d\ B D=C A . Prove that ∠A D B= ∠B C A a n d ∠D A B=∠ C B A .

In Figure, A C > A B\ a n d\ D is the point on A C such that A B=A Ddot Prove that B C > C D