## MCQ Questions for Class 9 Maths: Ch 7 Triangles

1. ABC is an isosceles triangle in which altitudes BE and CF are drawn to equal sides AC and AB respectively. Then:
(a) BE > CF
(b) BE <  CF
(c) BE = CF
(d) None of the above
► c) BE =  CF

2. ABCD is a parallelogram, if the two diagonals are equal, then by what criterion are the triangles ABD and ABC congruent
(a) AAS
(b) SSS
(c) SAS
(d) RHS
► (b) SSS

3. If AB = QR, BC=RP and CA = QP, then which of the following holds?
(a) △BCA ≅ △PQR
(b) △ABC ≅ △PQR
(c) △CBA ≅ △PQR
(d) △CAB ≅ △PQR
► (d) △CAB ≅ △PQR

4. Which of the following statements is incorrect ?
(a) Two squares having the same side length are congruent
(b) Two rectangles having the same area are congruent
(c) Two circles having the same radius are congruent
(d) Two lines having same length are congruent
► (b) Two rectangles having the same area are congruent

5. If the bisector of the angle A of a △ABC is perpendicular to the base BC of the triangle then the triangle ABC is :
(a) Obtuse Angled
(b) Isosceles
(c) Scalene
(d) Equilateral
► (b) Isosceles

6. It is not possible to construct a triangle when the lengths of its sides are
(a) 4 cm, 6 cm, 6 cm
(b) 9.3 cm, 5.2 cm, 7.4 cm
(c) 6 cm, 7 cm, 8 cm
(d) 5.3 cm, 2.2 cm, 3.1 cm
► (d) 5.3 cm, 2.2 cm, 3.1 cm

7. If two triangles ABC and PQR are congruent under the correspondence A ↔ P, B ↔ Q and C ↔ R, then symbolically, it is expressed as
(a) Î”ABC ≅ Î”PQR
(b) Î”ABC = Î”PQR
(c) Î”ABC and Î”PQR are scalene triangles
(d) Î”ABC and Î”PQR are isosceles triangles
► (a) Î”ABC ≅ Î”PQR

8. Two equilateral triangles are congruent when:
(a) Their areas are proportional
(b) Their sides are equal
(c) Their sides are proportional
(d) Their angles are equal
► (b) Their sides are equal

9. If Î”ABC ≌ Î”PQR then which of the following is true:
(a) CA = RP
(b) AB = RP
(c) AC = RQ
(d) CB = QP
► (a) CA = RP

10. It is not possible to construct a triangle when its sides are:
(a) 6 cm, 7 cm, 7 cm
(b) 5.4 cm, 2.3 cm, 3 cm
(c) 8.3 cm, 3.4 cm, 6.1 cm
(d) 3 cm, 5 cm, 5 cm
► (b) 5.4 cm, 2.3 cm, 3 cm

11. D is a Point on the Side BC of a △ABC such that AD bisects ∠BAC then:
(a) BD = CD
(b) CD > CA
(c) BD > BA
(d) BA > BD
► (d) BA > BD

12. O is any point in the interior of △ABC.Then which of the following is true?
(a) (OA+OB+OC) < 1/2 (AB+BC+CA)
(b) (OA+OB+OC) > (AB+BC+CA)
(c) (OA+OB+OC) > 1/2 (AB+BC+CA)
(d) None of the Above
► (c) (OA+OB+OC) > 1/2 (AB+BC+CA)

13. If the altitudes from vertices of a triangle to the opposite sides are equal, then the triangles is
(a) Scalene
(b) Isosceles
(c) Equilateral
(d) Right-angled
► (b) Isosceles

14. ABC ≅ △PQR. If AB=5 cm, and then which of the following is true?
(a) QR = 5 CM, ∠R= 60°
(b) QP = 5 cm, ∠P= 60°
(c) QP = 5cm, ∠R = 60°
(d) QR = 5 CM, ∠Q = 60°
► (b) QP = 5 cm, ∠P= 60°

15. In △ABC, if ∠A = 45∘ and ∠B = 70∘, then the shortest and the longest sides of the triangle are respectively,
(a) BC,AB
(a) AB,AC
(c) AB,BC
(d) BC,AC
► (d) BC,AC

16. If ABC is an equilateral triangle, then each angle equals to:
(a) 90°
(b)180°
(c) 120°
(d) 60°
► d) 60°

17.  In a right triangle, the longest side is:
(a) Perpendicular
(b) Hypotenuse
(c) Base
(d) None of the above
► b) Hypotenuse

18. The angles opposite to equal sides of a triangle are:
(a) Equal
(b) Unequal
(c) supplementary angles
(d) Complementary angles
► a) Equal

19. In △ABC and △DEF, AB = DE and ∠A = ∠D.Then two triangles will be congruent by SA axiom if:
(a) BC = EF
(b) AC = EF
(c) AC = DE
(d) BC = DE
► (c) AC = DE

20. In △ABC, if ∠B = 30∘ and ∠C = 70∘, then which of the following is the longest side?
(a) AB
(b) BC
(c) AC
(d) AB or AC
► (b) BC

21. △ABC = △PQR, then which of the following is true?
(a) CB = QP
(b) CA = RP
(c) AC = RQ
(d) AB = RP
► (b) CA = RP

22. Which of the following is not a criterion for congruence of triangles?
(a) SSS
(b) SSA
(c) ASA
(d) SAS
► (b) SSA