Students are advised to solve the Triangles Multiple Choice Questions of Class 9 Maths to know different concepts. Practicing the MCQ Questions on Triangles Class 9 with answers will boost your confidence thereby helping you score well in the exam.

Explore numerous MCQ Questions of Triangles Class 9 with answers provided with detailed solutions by looking below.

Question 1.
△ABC = △PQR, then which of the following is true?
(a) CB = QP
(b) CA = RP
(c) AC = RQ
(d) AB = RP

Answer

Answer: (b) CA = RP

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Question 2.
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

Answer

Answer: (c) AC = DE

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Question 3.
In a right triangle, the longest side is:
(a) Perpendicular
(b) Hypotenuse
(c) Base
(d) None of the above

Answer

Answer: (b) Hypotenuse

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Question 4.
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

Answer

Answer: (d) BC,AC

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Question 5.
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

Answer

Answer: (b) Isosceles

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Question 6.
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

Answer

Answer: (d) BA > BD

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Question 7.
If ΔABC ≅ ΔPQR then which of the following is true:
(a) CA = RP
(b) AB = RP
(c) AC = RQ
(d) CB = QP

Answer

Answer: (a) CA = RP

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Question 8.
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) ΔABC ≅ ΔPQR
(b) ΔABC = ΔPQR
(c) ΔABC and ΔPQR are scalene triangles
(d) ΔABC and ΔPQR are isosceles triangles

Answer

Answer: (a) ΔABC ≅ ΔPQR

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Question 9.
If the bisector of the angle A of an △ABC is perpendicular to the base BC of the triangle then the triangle ABC is :
(a) Obtuse Angled
(b) Isosceles
(c) Scalene
(d) Equilateral

Answer

Answer: (b) Isosceles

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Question 10.
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

Answer

Answer: (d) △CAB ≅ △PQR

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Question 11.
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

Answer

Answer: (c) BE = CF

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Question 12.
Which of the following is not a criterion for congruence of triangles?
(a) SSS
(b) SSA
(c) ASA
(d) SAS

Answer

Answer: (b) SSA

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Question 13.
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

Answer

Answer: (b) BC

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Question 14.
The angles opposite to equal sides of a triangle are:
(a) Equal
(b) Unequal
(c) supplementary angles
(d) Complementary angles

Answer

Answer: (a) Equal

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Question 15.
If ABC is an equilateral triangle, then each angle equals to:
(a) 90°
(b)180°
(c) 120°
(d) 60°

Answer

Answer: (d) 60°

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Question 16.
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°

Answer

Answer: (b) QP = 5 cm, ∠P= 60°

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Question 17.
O is any point in the interior of △ABC.Then which of the following is true?
(a) (OA+OB+OC) < \(\frac { 1 }{ 2 }\) (AB+BC+CA)
(b) (OA+OB+OC) > (AB+BC+CA)
(c) (OA+OB+OC) > \(\frac { 1 }{ 2 }\) (AB+BC+CA)
(d) None of the Above

Answer

Answer: (c) (OA+OB+OC) > \(\frac { 1 }{ 2 }\) (AB+BC+CA)

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Question 18.
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

Answer

Answer: (b) 5.4 cm, 2.3 cm, 3 cm

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Question 19.
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

Answer

Answer: (b) Their sides are equal

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Question 20.
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

Answer

Answer: (d) 5.3 cm, 2.2 cm, 3.1 cm

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Question 21.
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

Answer

Answer: (b) Two rectangles having the same area are congruent

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Question 22.
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

Answer

Answer: (b) SSS

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