In triangles ABC and DEF, ∠A = ∠D, ∠B = ∠E and AB = EF.
Will the two triangles be congruent? Give reasons for your answer
In the two triangles ABC and DEF, AB = DE and AC = EF.
Name two angles from the two triangles that must be equal so that the two triangles are congruent. Give reason for your answer.
In triangles ABC and DEF, AB = FD and ∠A = ∠D. The two triangles will be congruent by SAS axiom if
(A) BC = EF (B) AC = DE (C) AC = EF (D) BC = DE
In triangles ABC and PQR, AB = AC, ∠C = ∠P and ∠B = ∠Q. The two triangles are
(A) isosceles but not congruent (B) isosceles and congruent
(C) congruent but not isosceles (D) neither congruent nor isosceles
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
(A) 3.6 cm (B) 4.1 cm (C) 3.8 cm (D) 3.4 cm
It is given that ∆ ABC ≅ ∆ FDE and AB = 5 cm, ∠B = 40° and ∠A = 80°. Then
which of the following is true?
(A) DF = 5 cm, ∠F = 60° (B) DF = 5 cm, ∠E = 60°
(C) DE = 5 cm, ∠E = 60° (D) DE = 5 cm, ∠D = 40°
D is a point on the side BC of a ∆ ABC such that AD bisects ∠BAC. Then
(A) BD = CD (B) BA > BD (C) BD > BA (D) CD > CA
In ∆ PQR, ∠R = ∠P and QR = 4 cm and PR = 5 cm. Then the length of PQ is
(A) 4 cm (B) 5 cm (C) 2 cm (D) 2.5 cm
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