MCQ on The Triangle and its Properties for Class 7
Class 7 Maths Chapter 6 The Triangle and its Properties MCQ
MCQ of The Triangle and its Properties Class 7
I. Multiple Choice Questions:
Question 1.
Sum of the angles in a triangle = _____ ( )
A) 110°
B) 180°
C)115°
D) 90°
Answer:
B) 180°
Question 2.
The maximum angle is a right angled triangle is _____ ( )
A) 90°
8) 80°
C) 85°
D) 110°
Answer:
A) 90°
Question 3.
Number of equal sides in an isosceles triangle is _____ ( )
A) 6
B) 4
C) 3
D) 2
Answer:
D) 2
Question 4.
Identify the measurements of an equilateral triangle ( )
A) 4.5 cm, 4.5 cm, 4.5 cm
B) 6 cm, 6 cm, 5.6 cm
C) 1 cm, 1 cm, 2cm
D) All the above
Answer:
A) 4.5 cm, 4.5 cm, 4.5 cm
Question 5.
In the figure ∠a + ∠b = _____ ( )
A) 70°
B) 90°
C) 60°
D) 30°
Answer:
B) 90°
Question 6.
The measures of two angles of an equilateral triangle is 60°, then the third angle is ____ ( )
A) 85°
R) 80°
C) 60°
D) 70°
Answer:
Question 7.
Number of median of a triangle is ____ ( )
A) 4
B) 3
C) 8
D) 6
Answer:
B) 3
Question 8.
Number of altitudes of a triangle is _____ ( )
A) 2
B) 1
C) 4
D) 3
Answer:
D) 3
Question 9.
There are ______ sides In a triangle. ( )
A) 13
B) 10
C) 6
D) 3
Answer:
D) 3
Question 10.
There are ____ angles in a triangle. ( )
A) 3
B) 6
C) 4
D) 7
Answer:
A) 3
Question 11.
In △MNP, m∠m + m∠n = 110°, then m∠p = _____ ( )
A) 30°
B) 60°
C) 70°
D) 80°
Answer:
C) 70°
Question 12.
The largest side in a right angled triangle la called _____ ( )
A) vertex
B) side × 2
C) hypotenuse
D) None
Answer:
C) hypotenuse
Question 13.
In △ABC, AB = AC, then ____ ( )
A) ∠B = ∠A
B) ∠B = ∠C
C) ∠A = ∠C
D) None
Answer:
B)∠B = ∠C
Question 14.
In △PQR, QR2 = PQ2 + PR2. then ∠D = ____ ( )
A) 80°
B) 60°
C) 70°
D) 90°
Answer:
D) 90°
Question 15.
In △SKY, ∠S + ∠K + ∠Y = ____ ( )
A) 20°
B) 110°
C) 180°
D) 90°
Answer:
C) 180°
Question 16.
A simple closed figure formed with 3 line segments is called ______ ( )
A) Triangle
B) Quadrilateral
C) Pentagon
D) All the above
Answer:
A) Triangle
Question 17.
In the following figures find x° ( )
A) 40°
B) 35°
C) 70°
D) 60°
Answer:
D) 60°
Question 18.
A) 130°
B) 115°
C) 110°
D) 120°
Answer:
C) 110°
Question 19.
A) 110°
B) 50°
C) 60°
D) 30°
Answer:
B) 50°
Question 20.
A) 65°
B) 70°
C) 50°
D) 30°
Answer:
C) 50°
Question 21.
A) 70°
B) 80°
C) 30°
D) 40°
Answer:
B) 80°
Question 22.
A) 60°
B) 80°
C) 65°
D) 35°
Answer:
A) 60°
Question 23.
IdentIfy equailateral triangle from the following ( )
Answer:
(A)
Question 24.
A) 60°
B) 80°
C) 70°
D) 120°
Answer:
A) 60°
Question 25.
A) 80°
B) 50°
C) 55°
D) 65°
Answer:
C) 55°
Question 26.
A) 60°
B) 100°
C) 90°
D) 110°
Answer:
B) 100°
Question 27.
A) 85°
B) 65°
C) 75°
D) 60°
Answer:
D) 60°
Question 28.
A) 60°
B) 35°
C) 70°
D) 120°
Answer:
D) 120°
Question 29.
A) 35°
B) 45°
C) 50°
D) 90°
Answer:
C) 50°
Question 30.
A) 12
B) 11
C) 10
D) 11.5
Answer:
C) 10
Question 31.
A) 8 cm
B) 4 cm
C) 2 cm
D) 6.2 cm
Answer:
B) 4 cm
Question 32.
A) 70°
B) 90°
C) 110°
D) 35°
Answer:
C) 110°
Question 33.
A) 50°
B) 60°
C) 65°
D) 75°
Answer:
A) 50°
Question 34.
A) 36°
B) 85°
C) 70°
D) 105°
Answer:
D) 105°
Question 35.
A) 60°
B) 65°
C) 120°
D) 130°
Answer:
B) 65°
Question 36.
A) 70°
B) 65°
C) 80°
D) 85°
Answer:
C) 80°
Question 37.
A) 50°
B) 40°
C) 30°
D) 70°
Answer:
C) 30°
Question 38.
A) 40°
B) 45°
C) 65°
D) 85°
Answer:
B) 45°
Question 39.
A) 30°
B) 70°
C) 60°
D) 120°
Answer:
A) 30°
Question 40.
A) 25°
B) 35°
C) 60°
D) 70°
Answer:
A) 25°
Question 41.
Which of the following are not the measurements of a triangle (in cm) ( )
A) 3,4,5
B) 2,2,2
C) 6,8, 11
D) None
Answer:
D) None
Question 42.
Identify True statement from the following: ( )
A) A triangle will have 6 sides
B) A triangle will have 3 sides
C) A triangle will have 4 angles
D) A triangle will have 2 diagonals
Answer:
B) A triangle will have 3 sides
Question 43.
A) In △ABC. ∠A + ∠B + ∠C = 180° ( )
B) In △ABC, ∠A = ∠B = ∠C = 50°
C) In △ABC, ∠A > ∠B
D) In △ABC, ∠A + ∠B + ∠C = 200°
Answer:
A) In △ABC. ∠A + ∠B + ∠C = 180° ( )
Question 44.
In the figure AD is called ____( )
A) Altitude
B) Median
C) Mode
D) Area
Answer:
A) Altitude
Question 45.
Sum of the angles in a triangle is ____ right angle ( )
A) 4
B) 3
C) 2
D) 5
Answer:
C) 2
Question 46.
The measurements of an isosceles right angled triangle ____ ( )
A) 60°, 60°, 60°
B) 45°, 45°, 90°
C) 40°, 40°, 100°
D) 100°, 100°, 20°
Answer:
B) 45°, 45°, 90°
Question 47.
In △PQR, which of the following are true? ( )
A)PQ + QR > PR
B)PQ – QR < PR
C)∠P + ∠Q + ∠R = 180°
D) All the above
Answer:
D) All the above
Question 48.
In a plane a triangle divides it Into ____ Parts. ( )
A) 3
B) 4
C) 8
D) 7
Answer:
A) 3
Question 49.
In the above figure x = _____ ( )
A) 79°
B) 30°
C) 60°
D) 70°
Answer:
D) 70°
Question 50.
In the above figure y = ____ ( )
A) 69°
B) 60°
C) 30°
D) 90°
Answer:
B) 60°
II. In the blanks :
Question 51.
The median of a triangle are _____
Answer:
concurrent
Question 52.
The altitudes of a triangle are ____
Answer:
concurrent
Question 53.
The altitude if an obtuse angled triangle if base angle is obtuse lies ____ of the triangle.
Answer:
outside
Question 54.
For an acute angled to triangle the altitude lies ____ of the triangle.
Answer:
inside
Question 55.
Maximum number of right angles in a tringle is ______
Answer:
1
Question 56.
In a right angled triangle the angles other than right angle are ____
Answer:
acute
Question 57.
The type of triangle in which all angle are equal is _____
Answer:
equailateral
Question 58.
Two legs of right anglen angle are 6cm, 8 cm, then the measure of hypotenuse is ______ cm.
Answer:
10
Que1onss 59.
In the figure y = _____
Answer:
120°
Question 60.
In the figure ∠P = _____
Answer:
∠1 + ∠2
Question 61.
The exterior angle of a triangle is 135° one of its interior angles is 70°, then the measure of other angle is ______
Answer:
65°
Question 62.
The exterior angle of a triangle is 140° and the other opposite angles are equal, then the equal angle measure ___
Answer:
70°
Question 63.
In the figure ∠A + ∠B + ∠C + ∠D = _____
Answer:
180°
Question 64.
In the figure x° ______
Answer:
96°
Question 65.
The triangle shown below is _____ triangle
Answer:
scalene
Question 66.
The triangle shown below is ____ triangle
Answer:
isosceles
Question 67.
In an isosceles △MNR, ∠M + ∠N + ∠R = _____
Answer:
180°
Question 68.
In the figure △ABC is called ______ triangle
In a pythagoras triaplet, two number are given below, then the third number is _____
Answer:
equailateral
Question 69.
8, 15
Answer:
17
Question 70.
35, 37
Answer:
12
Question 71.
4, 5
Answer:
3
Question 72.
7, 24
Answer:
22
Question 73.
10, 8
Answer:
6
Question 74.
Sum of any two sides of a triangle is _____ third side
Answer:
greater
Question 75.
In the figure AB + BC _____ AC
Answer:
>
Question 76.
The difference of any two sides of a triangle is ______ third side.
Answer:
less
Question 77.
In the figure P Q – QR _____ PR
Answer:
<
Question 78.
In the figure x° _____
Answer:
75°
State True (or) False for the following statements
Question 79.
80°, 80°, 80° will be the angles of a triangle ______
Answer:
False
Question 80.
40°, 60°, 100° will be the angles for an obtuse angled triangle _____
Answer:
False
Question 81.
90° is the largest angle In any triangle _____
Answer:
False
Question 82.
100°, 40°, 40° are the triangles which form an obtuse angled triangle _____
Answer:
True
Question 83.
60°, 60°, 60° are the angles In any acute angled triangle _____
Answer:
False
Question 84.
For all acute angled triangle the altitude lies inside of the triangle _____
Answer:
True
Question 85.
In a scalene triangle all side arc equal _____
Answer:
False
Question 86.
Sum of the angles in a triangle is 180° _____
Answer:
True
Question 87.
A triangle will have 3 medians _____
Answer:
True
Question 88.
5cm, 2cm, 3cm are the sides of a right angled triangle _____
Answer:
False
Question 89.
in △ABC, If AC2 = AB2 + AC2, then ∠A = 90° _____
Answer:
False
Question 90.
The exterior angle if a triangle is equal to the sum of interior opposite anlges _____
Answer:
True
III. Match the following:
Question 91.
| i) 3 cm, 4 cm, 5 cm | a) Equilateral triangle |
| ii) 60°, 60°, 60° | b) Obtuse angle triangle |
| iii) 4 cm, 5 cm, 6 cm | c) Right angled triangle |
| iv) 100°, 40°, 40° | d) Scalene Triangle |
A) i – b, ii – d, iii – c, iv – a
B) i – c, ii – a, iii – d, iv – b
C) i – a, ii – c, iii – b, iv – d
D) i – c, ii – a, iii – b, iv – d
Answer:
B) i – c, ii – a, iii – d, iv – b
Question 92.
| i) Obtuse angle triangle | a) 80°, 40°, 60° |
| ii) Right angled triangle | b) 120°, 30°, 30° |
| iii) Acute angled triangle | c) 10 cm, 8 cm, 6 cm |
| iv) Scalene triangle | d) 5 cm, 6 cm, 7 cm |
A) i – b, ii – c, iii – a, iv – d
B) i – d, ii – c, iii – b, iv – a
C) i – d, ii – a, iii – c, iv – b
D) i – a, ii – b, iii – c, iv – d
Answer:
A) i – b, ii – c, iii – a, iv – d
Question 93.
A) i – b, ii – a, iii – c, iv – d
B) i – b, ii – a, iii – c, iv – d
C) i – a, ii – d, iii – b, iv – c
D) i – c, ii – a, iii – b, iv – d
Answer:
D) i – c, ii – a, iii – b, iv – d
Question 94.
A) i – a, ii – d, iii – c, iv – b
B) i – b, ii – c, iii – a, iv – d
C) i – d, ii – a, iii – b, iv – c
D) i – d, ii – a, iii – c, iv – b
Answer:
C) i – d, ii – a, iii – b, iv – c
Question 95.
A) i – b, ii – d, iii – a, iv – c
B) i – a, ii – c, iii – b, iv – d
C) i – d, ii – a, iii – b, iv – c
D) i – a, ii – c, iii – d, iv – d
Answer:
A) i – b, ii – d, iii – a, iv – c
Question 96.
A) i – b, ii – a, iii – c, iv – d
B) i – d, ii – a, iii – b, iv – c
C) i – a, ii – d, iii – c, iv – b
D) i – b, ii – a, iii – c, iv – b
Answer:
B) i – d, ii – a, iii – b, iv – c
Question 97.
A) i – b, ii – c, iii – a, iv – d
B) i – c, ii – d, iii – a, iv – b
C) i – c, ii – b, iii – a, iv – b
D) i – a, ii – c, iii – b, iv – d
Answer:
A) i – b, ii – c, iii – a, iv – d
Question 98.
A) i – d, ii – c, iii – a, iv – b
B) i – d, ii – b, iii – a, iv – c
C) i – a, ii – b, iii – c, iv – d
D) i – c, ii – a, iii – d, iv – b
Answer:
D) i – c, ii – a, iii – d, iv – b
Question 99.
A) i – d, ii – c, iii – b, iv – a
B) i – b, ii – a, iii – c, iv – d
C) i – c, ii – d, iii – a, iv – b
D) i – d, ii – a, iii – c, iv – b
Answer:
C) i – c, ii – d, iii – a, iv – b
Question 100.
A) i – d, ii – c, iii – b, iv – a
B) i – a, ii – c, iii – b, iv – d
C) i – c, ii – d, iii – a, iv – b
D) i – d, ii – b, iii – a, iv – c
Answer:
C) i – c, ii – d, iii – a, iv – b
Case Study Based Questions:
Question 101.
Kamal company is famous for shirt designes In a country. Everyday they will welcome the Innovative ideas on shirt design. They collect different from other agencies. Once they selected a triangle shaped region on a shirt to the coming sale session.
Based on above information answer the following question
i) If all the sides of a particular triangle are equal then we call the triangle as _____ triangle ( )
A) con’t say
B) obtuse
C) scalene
D) equilateral
Answer:
D) equilateral
ii) If only two sides are equal then we call it as _______ triangle. ( )
A) isosceles
B) equilateral
C) right angle
D) obtuse angle
Answer:
A) isosceles
iii) If the shirt has following pattern of triangles which one is odd one? ( )
A) i
B) iv
C) v
D) ii
Answer:
C) v
iv) If no two sides are equal then we call it as ______ triangle. ( )
A) isosceles
B) scalene
C) equilateal
D) none
Answer:
B) scalene
v) In a right angled triangle, the sum of other two angles is ______ ( )
A) 60°
B) 70°
C) 90°
D) 100°
Answer:
C) 90°
Question 102.
For a mathematics exhibition in a school children have prepared different models using mathematical shapes. Some are given below with a number mentioned for each shown in the following
Answer the following question.
i) Figure 102 represents which type of triangle?
Answer:
Obtuse angled triangle.
ii) Figure 104 represents which type of triangle?
Answer:
Right angled triangle.
iii) Figure 105 denotes scalene triangle. Is It true? Justify your answer.
Answer:
Scalene triangle as all sides are not equal.
iv) What is the measure of each angle in which all sides are equal in a triangle.
Answer:
Equilateral triangle
v) What is the sum of all angles in figure 101 represents a triangle?
Answer:
180°