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.