# MCQ Questions for Class 7 Maths Chapter 6 The Triangles and its Properties 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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