### Maths MCQ Class IX Ch-14 | Statistics

Mathematics  MCQ | Class 09 | Chapter 14 STATISTICS Multiple Choice Questions (MCQ) MCQ Based on the Data. MCQ  Based on the Mean of Data. MCQ Based on the Median. MCQ Based on the Mode. 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 14 Statistics. Start solving  the NCERT Problems with examples. Solve the important assignments on the Chapter 14 Class IX. Then start solving the following MCQ. MCQ |Chapter 14 | Statistics | Class IX

Mathematics

## MCQ | Class 09 | Chapter 7Triangles

Multiple Choice Questions (MCQ)

## 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 IXTRIANGLES

Question 1

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

a) 70°

b) 110°

c) 55°

d) 130°

Question 2

In given figure, the measure of BAC is

a) 60°

b) 50°

c) 70°

d) 80°

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

Question 4

The angles opposite to equal sides of a triangle are:

a) Equal

b) Unequal

c) Supplementary angles

d) Complementary angles

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

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

a) Perpendicular

b) Hypotenuse

c) Base

d) None of the above

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

Question 8

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

a) 90°

b)180°

c) 120°

d) 60°

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

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

Question 11

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

a) SAS

b) ASA

c) SSA

d) SSS

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

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

Question 14

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

a) ∆ PQR ∆ BCA

b) ∆ BAC ∆ RPQ

c) ∆ CBA ∆ PRQ

d) ∆ ABC ∆ PQR

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

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

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

Question 18

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

a) 40°

b) 50°

c) 80°

d) 100°

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°

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

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°

Question 22

In ∆ PQR, if R > Q, then

a) QR < PR

b) PQ < PR

c) PQ > PR

d) QR > PR

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

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°

## Download Math MCQ Worksheet For Class IX

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