CBSE Class 9 Maths Triangles MCQs Set F

CBSE Class 9 Maths Triangles MCQs Set F with answers available in Pdf for free download. The MCQ Questions for Class 9 Mathematics with answers have been prepared as per the latest syllabus, NCERT books and examination pattern suggested in Standard 9 by CBSE, NCERT and KVS. Multiple Choice Questions are an important part of Term 1 and Term 2 exams for Grade 9 Mathematics and if practiced properly can help you to get higher marks. Refer to more Chapter-wise MCQs for NCERT Class 9 Mathematics and also download more latest study material for all subjects

Triangles Class 9 MCQ

Class 9 Mathematics students should refer to the following multiple-choice questions with answers for Triangles in standard 9. These MCQ questions with answers for Grade 9 Mathematics will come in exams and help you to score good marks

Class 9 Triangles MCQ Questions with Answers

Triangles

 

1.Two sides of a triangle are 7 cm and 10 cm.Which of the following length can be the length of the third side?

(A) 19 cm. (B) 17 cm. (C) 23 cm. (D) None of these.

2.Can 80°, 75° and 20° form a triangle?

(A) Yes (B) Sometimes (C) No (D) None

3.In the following fig. AB = AC and BD = DC, then <ADC =

class_9_maths_MCQs_25

(A) 60° (B) 120° (C) 90° (D) none

4.In the Fig. given below, find <Z.

class_9_maths_MCQs_25a

(A) 20° (B) 110° (C) 45° (D) None

5.In a right angled triangle, the square of the hypotenuse is equal to twice the product of the other two sides. One of the acute angles of the triangle is

(A) 60° (B) 45° (C) 30° (D) 75°

6.The interior opposite angles of the exterior angle <ACD are

class_9_maths_MCQs_25b

(A) <B, <C (B) <A, <C (C) <A, <B (D) <B, <E

7.If P is a point equidistant from two lines l and m intersecting at point A. Show that the line AP bisects the angle.

(A) opposite side

(B) one side
(C) between
(D) None
 
8.Which of the following statement is correct?
(A) The difference of any two sides is greater than the third side.
(B) A triangle can have two obtuse angles.
(C) A triangle can have an obtuse angle and a right angle.
(D) None.
 
9.If a, b and c are the sides of a triangle, then
(A) a - b > c
(B) c > a + b
(C) c = a + b
(D) b < c + a

CBSE Class 9 Maths Triangles MCQs Set F-4

(A) SAS property
(B) SSS property
(C) RHS property
(D) ASA property
 
11. Two sides of a triangle are 7 cm and 10 cm.Which of the following length can be the length of the third side?
(A) 19 cm
(B) 17 cm
(C) 23 cm
(D) None of these
 
12. If two triangles have their corresponding angles equal, then they are not always congruent.
(A) True
(B) False
(C) Cannot be determined.
(D) None.
 
13. Angles opposite to equal sides of an triangle are equal. This result can be proved in many ways. One of the proofs is given here.
(A) Right angle
(B) isosceles
(C) a & b both
(D) None
 
14. In the given figure it is given that AB = CF, EF = BD and <AFE = <DBC .Then ΔAFE congruent to ΔCBD by which criterion?

CBSE Class 9 Maths Triangles MCQs Set F-
(A) AAA
(B) SSS
(C) ASA
(D) None
 
15. Can 7 cm, 8 cm and 11 cm form a triangle?
(A) Yes
(B) No
(C) Sometimes.
(D) Can't say.
 
16.In the following, the set of measures which can not form a triangle are
(A) 70°, 90°, 20°
(B) 65°, 75°, 40°
(C) 65°, 85°, 30°
(D) 45°, 45°, 80°
 
CBSE Class 9 Maths Triangles MCQs Set F-1
(A) 30°, 60°, 90°
(B) 60°, 36°, 20°
(C) 30°, 90°, 60°
(D) none of these .
 
18. Two figures are congruent, if they are of the
(A) same shape.
(B) same size.
(C) a & b both.
(D) None.
 
19. In the given fig., if AD = BC and AD || BC, then
CBSE Class 9 Maths Triangles MCQs Set F-2

(A) AB = AD
(B) AB = DC
(C) BC = CD
(D) none
 
20.In ΔABC, AB = AC and AD is perpendicular to BC. State the property by which 
CBSE Class 9 Maths Triangles MCQs Set F-3
(A) SAS property
(B) SSS property
(C) RHS property
(D) None
 
21. By which congruency property, the two triangles connected by the following figure are congruent.

CBSE Class 9 Maths Triangles MCQs Set F-5
(A) SSA property
(B) SSS property
(C) AAS property
(D) ASA property
 
22.A, B, C are the three angles of a triangle. If A - B = 35°, B - C = 43° then <A, <B, <C are
(A) 80°, 65°, 35°
(B) 65°, 80°, 35°
(C) 35°, 80°, 65°
(D) None of these.
 
23.Which of the following statements is not true?
(A) Two line segments having the same length are congruent.
(B) Two squares having the same side length are congruent.
(C) Two circles having the same radius are congruent.
(D) None.
 
24. E and F are respectively the mid-points of equal sides AB and AC of  ΔABC.Which of the following statement is true?

(A) AB = BC
(B) AE = AC
(C) BF = CE
(D) BC = AF
 
25.Body
26.In the adjoining figure
AB||PQ, AC||PR, BC||QR. Then, AP is
 
CBSE Class 9 Maths Triangles MCQs Set F-6
 
 
27.Which of the following statements is/are true?
(A) Two triangles having same area are congruent.
(B) If two sides and one angle of a triangle are equal to the corresponding two sides and the angle of another triangle, then the two triangles are congruent.
(C) If the hypotenuse of one right triangle is equal to the hypotenuse of another triangle, then the triangles are congruent.
(D) None.
 
28.In ΔABC, <B = 45°, <C = 65° and the bisector of <BAC meets BC at P. Then the descending order of sides is

CBSE Class 9 Maths Triangles MCQs Set F-7

(A) AP, BP, CP
(B) BC,AB,AC
(C) BP, AP, CP
(D) CP, BP, AP
 
29. In Figure OA = OB and OD = OC.

CBSE Class 9 Maths Triangles MCQs Set F-8

Show that

CBSE Class 9 Maths Triangles MCQs Set F-9
CBSE Class 9 Maths Triangles MCQs Set F-10


31.AD and BC are equal perpendiculars to a line segment AB. Show that CD bisects AB.

CBSE Class 9 Maths Triangles MCQs Set F-11


32. D is a point on side BC of ΔABC such that AD = AC .Show that AB > AD.
 
CBSE Class 9 Maths Triangles MCQs Set F-12
 
33. ΔABC and ΔDBC are two isosceles triangles on the same base BC and vertices A and D are on the same side of BC. If AD is extended to intersect BC at P, show that
CBSE Class 9 Maths Triangles MCQs Set F-14
CBSE Class 9 Maths Triangles MCQs Set F-15


34. ABC and DBC are two isosceles triangles on the same base BC. Show that <ABD = <ACD.

CBSE Class 9 Maths Triangles MCQs Set F-16
35. Angles opposite to equal sides of an isosceles triangle are equal.
 
36. In Fig, AC = AE, AB = AD and <BAD = <EAC. Show that BC = DE.

CBSE Class 9 Maths Triangles MCQs Set F-17



CBSE Class 9 Maths Triangles MCQs Set F-18
 
38.In ΔABC, the bisector AD of <A is perpendicular to side BC. Show that AB = AC and ΔABC is isosceles.

CBSE Class 9 Maths Triangles MCQs Set F-19

 
39. P is a point equidistant from two lines l and m intersecting at point A. Show that the line AP bisects the angle between them.

CBSE Class 9 Maths Triangles MCQs Set F-20
 
40. In an isosceles triangle ABC with AB = AC, D and E are points on BC such that BE = CD. Show that AD =AE.

CBSE Class 9 Maths Triangles MCQs Set F-21
 
41. ΔABC is an isosceles triangle in which AB = AC. Side BA is produced to D such that AD = AB. Show that <BCD is a right angle.
42. AB is a line-segment. P and Q are points on opposite sides of AB such that each of them is equidistant from the points A and B. Show that the line PQ is the erpendicular bisector of AB.

CBSE Class 9 Maths Triangles MCQs Set F-22
 

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Chapter 7 Triangles
CBSE Class 9 Maths Triangles MCQs Set A
CBSE Class 9 Maths Triangles MCQs Set B
CBSE Class 9 Maths Triangles MCQs Set C
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CBSE Class 9 Maths Quadrilaterals MCQs Set B
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