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Maths MCQ Class IX Ch-7 | Triangles

    Mathematics

MCQ | Class 09 | Chapter 7
Triangles




Multiple Choice Questions (MCQ)

  • MCQ Based on the different types of Triangles.

  • MCQ  Based on the concept of Properties of Triangles.

  • MCQ Based on the Congruence conditions of Triangles.

Features

  • In the MCQ given below you find the important MCQ which are strictly according to the CBSE syllabus and are very useful for the CBSE Examinations. 
  • Solution Hints are also given to some difficult problems. 
  • Each MCQ contains four options from which one option is correct. 

Action Plan

  • First of all students should Learn and write all basic points and Formulas related to the Chapter 7 Triangle.
  • Start solving  the NCERT Problems with examples.
  • Solve the important assignments on the Chapter 7 Class IX.
  • Then start solving the following MCQ.

MCQ | CHAPTER - 7 | CLASS IX
TRIANGLES

Question 1

In triangle ABC, if AB = BC and B = 70°, A will be:

a) 70°                    b) 110°                c) 55°                    d) 130°

Answer: c

Question 2

In given figure, the measure of BAC is








a) 60°                b) 50°                    c) 70°                    d) 80°

Answer (b)

Question 3

For two triangles, if two angles and the included side of one triangle are equal to two angles and the included side of another triangle. Then the congruency rule is:

a) SSS            b) ASA                c) SAS                    d) None of the above

Answer: b

Question 4

The angles opposite to equal sides of a triangle are:

a) Equal

b) Unequal

c) Supplementary angles

d) Complementary angles

Answer: (a)

Question 5

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: (c)

Question 6: In a right triangle, the longest side is:

a) Perpendicular

b) Hypotenuse

c) Base

d) None of the above

Answer: b

Question 7

All the medians of a triangle are equal in case of a:
a) Scalene triangle

b) Right angled triangle

c) Equilateral triangle

d) Isosceles triangle

Answer c

Question 8 

If ABC is an equilateral triangle, then each angle equals to:

a) 90°        b)180°            c) 120°                d) 60°

Answer: d

Question 9

A triangle in which two sides are equal is called:

a) Scalene triangle

b) Equilateral triangle

c) Isosceles triangle

d) None of the above

Answer: c

Question 10

If AD is an altitude of an isosceles triangle ABC in which AB = AC. Then:

a) BD = CD

b) BD > CD

c) BD < CD

d) None of the above

Answer: a

Question 11

Which of the following is not a criterion for congruence of triangles?

a) SAS            b) ASA                c) SSA                d) SSS

Answer: c

Question 12 

In triangle PQR if Q = 90°, then:

a) PQ is the longest side

b) QR is the longest side

c) PR is the longest side

d) None of these

Answer c

Question 13

In triangles ABC and PQR, AB = AC, C = P and B = Q. The two triangles are

a) Isosceles and congruent

b) Isosceles but not congruent

c) Congruent but not isosceles

d) Neither congruent nor isosceles

Answer: b

Question 14 

If AB = QR, BC = PR and CA = PQ, then

a) ∆ PQR ∆ BCA

b) ∆ BAC ∆ RPQ

c) ∆ CBA ∆ PRQ

d) ∆ ABC ∆ PQR

Answer: c

Explanation:

Consider two triangles ABC and PQR.

Given that, AB = QR, BC = PR and CA = PQ.

By using Side-Side-Side (SSS rule),

We can say, ∆ CBA ∆ PRQ

Question 15

In ∆ PQR, R = P and QR = 4 cm and PR = 5 cm. Then the length of PQ is

a) 2 cm               b) 2.5 cm                c) 4 cm                d) 5 cm

Answer: c

Explanation:

Given that, in a triangle PQR, R = P.

Since, R = P, the sides opposite to the equal angles are also equal.

Hence, the length of PQ is 4 cm.

Question 16

If ∆ ABC ∆ PQR, then which of the following is not true?

a) AC = PR 

b) BC = PQ

c) QR = BC

d) AB = PQ

Answer: b

Explanation:

Given that, ∆ ABC ∆ PQR

Hence, AB = PQ

BC = QR

AC =PR

Thus, BC = PQ is not true, if ∆ ABC ∆ PQR.

Question 17

In the given figure, if the exterior angle is 135o then P is:







a) 45o                b) 60o                    c) 80o                        d) 90o

Answer d

Question 18

In ∆ ABC, BC = AB and B = 80°. Then A is equal to











a) 40°                b) 50°                    c) 80°                    d) 100°

Answer: b 

Explanation: Thus, the given triangle is an isosceles triangle.

By using the angle sum property of a triangle, we get

x + 80°+ x = 180°

2x + 80°= 180°

2x = 180°- 80°

2x = 100°

x = 100°/2 = 50°

Therefore, A = 50°.

Question 19

In a triangle ABC, B = 35° and C = 60°, then
a) A = 80°

b) A = 85°

c) A = 120°

d) A = 145°

Answer b

Question 20

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) 3.4 cm            b) 3.6 cm                c) 3.8 cm                    d) 4.1 cm

Answer: a

Explanation: Because In triangle we have following rule for sides

Difference of two sides < Third side < Sum of two sides

Question 21

In ∆ ABC, AB = AC and B = 50°. Then C is equal to

a) 40°            b) 50°                c) 80°                    d) 130°

Answer: b

Question 22 

In ∆ PQR, if R > Q, then

a) QR < PR 

b) PQ < PR

c) PQ > PR

d) QR > PR 

Answer: c

Question 23 

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

Answer: b

Explanation:

Given that, ∆ ABC ∆ FDE and AB = 5 cm, B = 40° and A = 80°.

In ∆ ABC,

C = 180° – (80°+ 40°)

C = 180° – 120°

C = 60°

Now : ∆ ABC ∆ FDE …… Given

By using the CPCT rule, 

AB = DF = 5 cm,

C = E = 60°

Hence correct option is  DF = 5 cm, E = 60°


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