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The Triangles and its Properties Class 7 MCQs Questions with Answers
Students are advised to solve The Triangles and its Properties Multiple Choice Questions of Class 7 Maths to know different concepts. Practicing the MCQ Questions on The Triangles and its Properties Class 7 with answers will boost your confidence thereby helping you score well in the exam.
Explore numerous MCQ Questions of The Triangles and its Properties Class 7 with answers provided with detailed solutions by looking below.
Question 1.
A triangle has how many sides :
(a) three
(b) five
(c) four
(d) None of these
Answer
Answer: (a) three
A triangle is a closed figure of three sides.
Question 2.
A triangle has medians :
(a) 2
(b) 1
(c) 3
(d) None of these
Answer
Answer: (c) 3
A triangle has three vertices and a median connects a vertex of a triangle to the mid-point of the opposite side.
Question 3.
A triangle has altitudes :
(a) 2
(b) 3
(c) 1
(d) None of these
Answer
Answer: (b) 3
Perpendicular drawn from vertex is called median and as such there are three vertices in a triangle.
Question 4.
Find the value of x :
(a) 120°
(b) 110°
(c) 100°
(d) None of these
Answer
Answer: (a) 120°
Sum of interior opposite angles is equal to exterior angle.
Question 5.
Find the value of y :
(a) 50°
(b) 70°
(c) 40°
(d) None of these
Answer
Answer: (b) 70°
Difference of exterior angle and one interior opposite angle.
Question 6.
Sum of three angles of a triangle is :
(a) 170°
(b) 90°
(c) 180°
(d) None of these
Answer
Answer: (c) 180°
Angle sum property.
Question 7.
Find the third angle of the given triangle
(a) 71°
(b) 61°
(c) 81°
(d) None of these
Answer
Answer: (c) 81°
According to angle sum property first add two given angles and sum is subtracted from 180°.
Question 8.
Find the unknown x in the following diagram
(a) 60°
(b) 30°
(c) 90°
(d) None of these
Answer
Answer: (a) 60°
One angle is 90° according to diagram and according to angle sum property.
Question 9.
Find the value of x in the given diagram :
(a) 65°
(b) 50°
(c) 70°
(d) None of these
Answer
Answer: (a) 65°
Sum of three angles is 180° and of three angles 2 angles are equal therefore x is one half of 130°.
Question 10.
Find the value of x in the given diagram :
(a) 4°
(b) 60°
(c) 80°
(d) None of these
Answer
Answer: (b) 60°
All angles are equal therefore 180° is divided by 3.
Question 11.
Find the value of x in the given diagram :
(a) 30°
(b) 45°
(c) 60°
(d) None of these
Answer
Answer: (a) 30°
Out of three angles one angle is 90°. Sum of remaining two angles is 90° therefore 3x = 90° and x = 30°.
Question 12.
Find the value of x and y in the following diagram
(a) (60, 70)
(b) (50, 70)
(c) (70, 60)
(d) None of these
Answer
Answer: (c) (70, 60)
Exterior angle is equal to the sum of interior opposite angles.
Question 13.
Find the value of x and y in the following diagram
(a) (110, 70)
(b) 70, 110)
(c) (60, 120)
(d) none of these
Answer
Answer: (a) (110, 70)
Exterior angle and angle sum property.
Question 14.
Find the value of x and y in the following diagram :
(a) (60,90)
(b) (90,60)
(c) (60,60)
(d) none of these
Answer
Answer: (a) (60,90)
x is vertically opposite angle and value of y according to angle sum property.
Question 15.
Find the angle x in given diagram :
(a) 30°
(b) 60°
(c) 40°
(d) none of these
Answer
Answer: (c) 40°
Two sides are equal and x is opposit^’angle of equal side.
Question 16.
Find the angle x in the given diagram
(a) 40°
(b) 50°
(c) 80°
(d) none of these
Answer
Answer: (a) 40°
Two sides are equal and third angle is 100°. Therefore according to angle sum property twice of angle x is 80°.
Question 17.
If two sides of a triangle are added then the result is :
(a) greater than third
(b) less than third
(c) equal to third
(d) none of these
Answer
Answer: (a) greater than third
As the sum of the length of any two sides of a triangle is greater than the third side.
Question 18.
In a ΔABC, if AB+BC = 10 cm, BC+CA = 12 cm, CA+AB = 16 cm, then the perimeter of the triangle is ____.
(a) 19cm
(b) 17cm
(c) 28cm
(d) 22cm
Answer
Answer: (a) 19cm
Question 19.
In the Pythagoras property, the triangle must be ___________ .
(a) obtuse-angled
(b) acute-angled
(c) right-angled
(d) none of these
Answer
Answer: (c) right-angled
Question 20.
Which is the longest side in the triangle PQR right angled at P?
(a) PQ
(b) QR
(c) PR
(d) None of these
Answer
Answer: (b) QR
Question 21.
If the angles of a triangle are in the ratio 4:5:9. Find all the angles of a the triangle
(a) 40°, 50°, 90°
(b) 90°, 72°, 18°
(c) 9°, 90°, 55°
(d) 45°, 60°, 18°
Answer
Answer: (a) 40°, 50°, 90°
Question 22.
How many altitudes can a triangle have?
(a) 1
(b) 2
(c) 3
(d) None of these
Answer
Answer: (c) 3
Question 23.
How many medians a triangle can have?
(a) 1
(b) 2
(c) 3
(d) none of these
Answer
Answer: (c) 3
Question 24.
The sum of the lengths of any two sides of a triangle is _____________ the third side of the triangle.
(a) greater than
(b) half
(c) less than
(d) double
Answer
Answer: (a) greater than
Question 25.
The triangle whose lengths of sides are 3 cm, 4 cm, 5 cm is a
(a) obtuse-angled triangle
(b) right-angled triangle
(c) acute-angled triangle
(d) None of these
Answer
Answer: (b) right-angled triangle
Question 26.
A triangle in which two sides are of equal lengths is called _______________.
(a) scalene
(b) acute-angled
(c) equilateral
(d) isosceles
Answer
Answer: (d) isosceles
Question 27.
Aryan wants to plant a flower on the ground in the form of a rhombus. The diagonals of the rhombus measures 42 cm and 56 cm. Find the perimeter of the field.
(a) 150 cm
(b) 140 cm
(c) 130cm
(d) 120cm
Answer
Answer: (b) 140 cm
Question 28.
ΔPQR is a triangle right-angled at P. If PQ = 3 cm and PR = 4 cm, find QR.
(a) 8 cm
(b) 5 cm
(c) 7 cm
(d) 3 cm
Answer
Answer: (b) 5 cm
Question 29.
In a ΔABC, which of the given condition holds?
(a) AB − BC > CA
(b) AB + BC < CA
(c) AB − BC < CA
(d) AB + CA < BC
Answer
Answer: (c) AB − BC<CA
Question 30.
One of the angles of a triangle is 110° and the other two angles are equal what is the measure of each of these equal angles
(a) 35°,35°
(b) 40°, 40°
(c) 11°, 11°
(d) 80° , 80°
Answer
Answer: (a) 35°,35°
Question 31.
Which is the longest side in the triangle ABC right angled at B?
(a) AB
(b) AC
(c) BC
(d) None of these
Answer
Answer: (b) AC
Question 32.
Which is the longest side of a right triangle?
(a) Base
(b) Perpendicular
(c) Hypotenuse
(d) None of these
Answer
Answer: (c) Hypotenuse
Question 33.
A/an _____________ connect a vertex of a triangle to the mid-point of the opposite side.
(a) altitude
(b) median
(c) vertex
(d) none of these
Answer
Answer: (b) median
Question 34.
ΔABC is right-angled at C. If AC = 5 cm and BC = 12 cm find the length of AB.
(a) 13 cm
(b) 11 cm
(c) 20 cm
(d) None of these
Answer
Answer:
Question 35.
ABC is an isosceles triangle with AB = AC and AD is altitude, then ____.
(a) ∠B>∠C
(b) ∠B<∠C
(c) ∠B=∠C
(d) None of these
Answer
Answer: (c) ∠B=∠C
State whether the given statements are true or false:
Question 1.
A triangle with two right angles.
Answer
Answer: false
Question 2.
A triangle with two obtuse angles.
Answer
Answer: false
Question 3.
A triangle with two acute angles.
Answer
Answer: true
Question 4.
A triangle with all the three angles equal to 60°.
Answer
Answer: true
Question 5.
A triangle with all the three angles less than 60°.
Answer
Answer: false
Match the following:
Question 1.
| 1. One angle 90° | a. Obtuse triangle |
| 2. All angles 60° | b. Isosceles triangle |
| 3. Two angles are equal | c. Right angle triangle |
| 4. One angle is greater than 90° | d. Equilateral triangle |
Answer
Answer:
| 1. One angle 90° | c. Right angle triangle |
| 2. All angles 60° | b. Isosceles triangle |
| 3. Two angles are equal | d. Equilateral triangle |
| 4. One angle is greater than 90° | a. Obtuse triangle |
Question 2.
| 1. In an isosceles triangle | a. All the angles are equal |
| 2. In an equilateral triangle | b. The third side |
| 3. Sum of three angles | c. Two angles are equal |
| 4. The sum of two sides of a | d. is 180° |
Answer
Answer:
| 1. In an isosceles triangle | c. Two angles are equal |
| 2. In an equilateral triangle | a. All the angles are equal |
| 3. Sum of three angles | d. is 180° |
| 4. The sum of two sides of a | b. The third side |
Fill in the blanks:
1. Sum of …………….. angles of the triangle is 180°.
Answer
Answer: three
2. The sum of any two sides of a triangle is ………….. than the third side
Answer
Answer: greater
3. In a right angled triangle, the side opposite to the right angle is called the
the other two sides are called ……………. and ………………..
Answer
Answer: hypotenuse,perpendicular base
4. In a right angled triangle, the square of the hypotenuse equals the sum of the …………… of its sides.
Answer
Answer: Square
4. There are ……………….. elements of a triangle.
Answer
Answer: six
5. A triangle has ……………. medians and ……………… altitudes.
Answer
Answer: three,three
6. A ……………. is a simple closed figure made of three line segments.
Answer
Answer: triangle
7. The line segment that joins a vertex of a triangle to the mid-point of opposite side is called a ……………. of a triangle.
Answer
Answer: median
8. Perpendicular line segment from a vertex of a triangle to its opposite side is called an ………….. of the triangle.
Answer
Answer: Altitude
9. A triangle is said to be ………….. if all its sides are of different lengths
Answer
Answer: a scalene triangle
10. A triangle is said to be ………….. if any two of its sides are equal.
Answer
Answer: an isosceles triangle
11. A triangle is said to be ………………… if all of its sides are equal.
Answer
Answer: an equilateral triangle
12. An accute triangle is if each of its angle is …………… 90°.
Answer
Answer: less than
13. An obtuse triangle is if one of its angle is greater than …………..
Answer
Answer: 90°
14. A …………… is if one of its angle is equal to 90°.
Answer
Answer: right triangle
15. All the angles of a scalene triangle are ……………
Answer
Answer: unequal
16. All the angles of an equilateral triangle are …………….
Answer
Answer: equal
Misc. Questions:
Is it possible to have a triangle with the following sides :
Question 1.
2 cm, 3 cm, 5 cm
Answer
Answer: yes
Question 2.
3 cm, 6 cm, 7 cm
Answer
Answer: yes
Question 3.
6 cm, 3 cm, 2 cm
Answer
Answer: no
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