Which of the following is not a criterion for congruence of triangles?

If AB = QR, BC = PR and CA = PQ, then

In Δ ABC, AB = AC and ∠B = 50°. Then ∠C is equal to

In Δ ABC, BC = AB and ∠B = 80°. Then ∠A is equal to

In ΔPQR, ∠R = ∠P and QR = 4 cm and PR = 5 cm. Then the length of PQ is

D is a point on the side BC of a ΔABC such that AD bisects ∠BAC. Then

Two sides of a triangle are of lengths 5 cm and 1.5 cm. The length of the third side of the triangle cannot be

In ΔPQR, if ∠R >∠Q, then

In triangles ABC and PQR, AB = AC, ∠C = ∠P and ∠B = ∠Q. The two triangles are

In triangles ABC and DEF, AB = FD and ∠A = ∠D. The two triangles will be congruent by SAS axiom if

ABC is an isosceles triangle with AB = AC and BD and CE are its two medians. Show that BD = CE.

In Figure, D and E are points on side BC of a ΔABC such that BD = CE and AD = AE. Show that ΔABD ≅ ΔACE.

CDE is an equilateral triangle formed on a side CD of a square ABCD. Show that ΔADE ≅ΔBCE.

In Figure, BA ⊥ AC, DE ⊥ DF such that BA = DE and BF = EC. Show that ΔABC ≅ΔDEF.

Q is a point on the side SR of a ΔPSR such that PQ = PR. Prove that PS > PQ.

S is any point on side QR of a ΔPQR. Show that: PQ + QR + RP > 2 PS.

D is any point on side AC of a ΔABC with AB = AC. Show that CD < BD.

In Figure, L || m and M is the mid-point of a line segment AB. Show that M is also the mid-point of any line segment CD, having its end points on l and m, respectively.

Bisectors of the angles B and C of an isosceles triangle with AB = AC intersect each other at O. BO is produced to a point M. Prove that ∠MOC = ∠ABC.

Bisectors of the angles B and C of an isosceles triangle ABC with AB = AC intersect each other at O. Show that external angle adjacent to ∠ABC is equal to ∠BOC.

In Figure, AD is the bisector of ∠BAC. Prove that AB > BD.