{"id":8587,"date":"2020-09-21T10:59:08","date_gmt":"2020-09-21T05:29:08","guid":{"rendered":"https:\/\/ncertsolutions.guru\/?p=8587"},"modified":"2020-11-18T15:40:29","modified_gmt":"2020-11-18T10:10:29","slug":"mcq-questions-for-class-7-maths-chapter-6","status":"publish","type":"post","link":"https:\/\/ncertsolutions.guru\/mcq-questions-for-class-7-maths-chapter-6\/","title":{"rendered":"MCQ Questions for Class 7 Maths Chapter 6 The Triangles and its Properties with Answers"},"content":{"rendered":"

Students can access the NCERT MCQ Questions for Class 7 Maths Chapter 6 The Triangles and its Properties Pdf free download aids in your exam preparation and you can get a good hold of the chapter. Use MCQ Questions for Class 7 Maths with Answers<\/a> during preparation and score maximum marks in the exam. Students can download the Triangles and its Properties Class 7 MCQs Questions with Answers from here and test their problem-solving skills. Clear all the fundamentals and prepare thoroughly for the exam taking help from Class 7 Maths Chapter 6 The Triangles and its Properties Objective Questions.<\/p>\n

The Triangles and its Properties Class 7 MCQs Questions with Answers<\/h2>\n

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.<\/p>\n

Explore numerous MCQ Questions of The Triangles and its Properties Class 7 with answers provided with detailed solutions by looking below.<\/p>\n

Question 1.
\nA triangle has how many sides :
\n(a) three
\n(b) five
\n(c) four
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) three
\nA triangle is a closed figure of three sides.<\/p>\n<\/details>\n

\n

Question 2.
\nA triangle has medians :
\n(a) 2
\n(b) 1
\n(c) 3
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) 3
\nA triangle has three vertices and a median connects a vertex of a triangle to the mid-point of the opposite side.<\/p>\n<\/details>\n

\n

Question 3.
\nA triangle has altitudes :
\n(a) 2
\n(b) 3
\n(c) 1
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) 3
\nPerpendicular drawn from vertex is called median and as such there are three vertices in a triangle.<\/p>\n<\/details>\n

\n

Question 4.
\nFind the value of x :
\n\"MCQ
\n(a) 120\u00b0
\n(b) 110\u00b0
\n(c) 100\u00b0
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) 120\u00b0
\nSum of interior opposite angles is equal to exterior angle.<\/p>\n<\/details>\n

\n

Question 5.
\nFind the value of y :
\n\"MCQ<\/p>\n

(a) 50\u00b0
\n(b) 70\u00b0
\n(c) 40\u00b0
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) 70\u00b0
\nDifference of exterior angle and one interior opposite angle.<\/p>\n<\/details>\n

\n

Question 6.
\nSum of three angles of a triangle is :
\n(a) 170\u00b0
\n(b) 90\u00b0
\n(c) 180\u00b0
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) 180\u00b0
\nAngle sum property.<\/p>\n<\/details>\n

\n

Question 7.
\nFind the third angle of the given triangle
\n\"MCQ
\n(a) 71\u00b0
\n(b) 61\u00b0
\n(c) 81\u00b0
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) 81\u00b0
\nAccording to angle sum property first add two given angles and sum is subtracted from 180\u00b0.<\/p>\n<\/details>\n

\n

Question 8.
\nFind the unknown x in the following diagram
\n\"MCQ
\n(a) 60\u00b0
\n(b) 30\u00b0
\n(c) 90\u00b0
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) 60\u00b0
\nOne angle is 90\u00b0 according to diagram and according to angle sum property.<\/p>\n<\/details>\n

\n

Question 9.
\nFind the value of x in the given diagram :
\n\"MCQ
\n(a) 65\u00b0
\n(b) 50\u00b0
\n(c) 70\u00b0
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) 65\u00b0
\nSum of three angles is 180\u00b0 and of three angles 2 angles are equal therefore x is one half of 130\u00b0.<\/p>\n<\/details>\n

\n

Question 10.
\nFind the value of x in the given diagram :
\n\"MCQ
\n(a) 4\u00b0
\n(b) 60\u00b0
\n(c) 80\u00b0
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) 60\u00b0
\nAll angles are equal therefore 180\u00b0 is divided by 3.<\/p>\n<\/details>\n

\n

Question 11.
\nFind the value of x in the given diagram :
\n\"MCQ
\n(a) 30\u00b0
\n(b) 45\u00b0
\n(c) 60\u00b0
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) 30\u00b0
\nOut of three angles one angle is 90\u00b0. Sum of remaining two angles is 90\u00b0 therefore 3x = 90\u00b0 and x = 30\u00b0.<\/p>\n<\/details>\n

\n

Question 12.
\nFind the value of x and y in the following diagram
\n\"MCQ
\n(a) (60, 70)
\n(b) (50, 70)
\n(c) (70, 60)
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) (70, 60)
\nExterior angle is equal to the sum of interior opposite angles.<\/p>\n<\/details>\n

\n

Question 13.
\nFind the value of x and y in the following diagram
\n\"MCQ
\n(a) (110, 70)
\n(b) 70, 110)
\n(c) (60, 120)
\n(d) none of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) (110, 70)
\nExterior angle and angle sum property.<\/p>\n<\/details>\n

\n

Question 14.
\nFind the value of x and y in the following diagram :
\n\"MCQ
\n(a) (60,90)
\n(b) (90,60)
\n(c) (60,60)
\n(d) none of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) (60,90)
\nx is vertically opposite angle and value of y according to angle sum property.<\/p>\n<\/details>\n

\n

Question 15.
\nFind the angle x in given diagram :
\n\"MCQ
\n(a) 30\u00b0
\n(b) 60\u00b0
\n(c) 40\u00b0
\n(d) none of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) 40\u00b0
\nTwo sides are equal and x is opposit^’angle of equal side.<\/p>\n<\/details>\n

\n

Question 16.
\nFind the angle x in the given diagram
\n\"MCQ
\n(a) 40\u00b0
\n(b) 50\u00b0
\n(c) 80\u00b0
\n(d) none of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) 40\u00b0
\nTwo sides are equal and third angle is 100\u00b0. Therefore according to angle sum property twice of angle x is 80\u00b0.<\/p>\n<\/details>\n

\n

Question 17.
\nIf two sides of a triangle are added then the result is :
\n(a) greater than third
\n(b) less than third
\n(c) equal to third
\n(d) none of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) greater than third
\nAs the sum of the length of any two sides of a triangle is greater than the third side.<\/p>\n<\/details>\n

\n

Question 18.
\nIn a \u0394ABC, if AB+BC = 10 cm, BC+CA = 12 cm, CA+AB = 16 cm, then the perimeter of the triangle is ____.
\n(a) 19cm
\n(b) 17cm
\n(c) 28cm
\n(d) 22cm<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) 19cm<\/p>\n<\/details>\n

\n

Question 19.
\nIn the Pythagoras property, the triangle must be ___________ .
\n(a) obtuse-angled
\n(b) acute-angled
\n(c) right-angled
\n(d) none of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) right-angled<\/p>\n<\/details>\n

\n

Question 20.
\nWhich is the longest side in the triangle PQR right angled at P?
\n(a) PQ
\n(b) QR
\n(c) PR
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) QR<\/p>\n<\/details>\n

\n

Question 21.
\nIf the angles of a triangle are in the ratio 4:5:9. Find all the angles of a the triangle
\n(a) 40\u00b0, 50\u00b0, 90\u00b0
\n(b) 90\u00b0, 72\u00b0, 18\u00b0
\n(c) 9\u00b0, 90\u00b0, 55\u00b0
\n(d) 45\u00b0, 60\u00b0, 18\u00b0<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) 40\u00b0, 50\u00b0, 90\u00b0<\/p>\n<\/details>\n

\n

Question 22.
\nHow many altitudes can a triangle have?
\n(a) 1
\n(b) 2
\n(c) 3
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) 3<\/p>\n<\/details>\n

\n

Question 23.
\nHow many medians a triangle can have?
\n(a) 1
\n(b) 2
\n(c) 3
\n(d) none of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) 3<\/p>\n<\/details>\n

\n

Question 24.
\nThe sum of the lengths of any two sides of a triangle is _____________ the third side of the triangle.
\n(a) greater than
\n(b) half
\n(c) less than
\n(d) double<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) greater than<\/p>\n<\/details>\n

\n

Question 25.
\nThe triangle whose lengths of sides are 3 cm, 4 cm, 5 cm is a
\n(a) obtuse-angled triangle
\n(b) right-angled triangle
\n(c) acute-angled triangle
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) right-angled triangle<\/p>\n<\/details>\n

\n

Question 26.
\nA triangle in which two sides are of equal lengths is called _______________.
\n(a) scalene
\n(b) acute-angled
\n(c) equilateral
\n(d) isosceles<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) isosceles<\/p>\n<\/details>\n

\n

Question 27.
\nAryan 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.
\n(a) 150 cm
\n(b) 140 cm
\n(c) 130cm
\n(d) 120cm<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) 140 cm<\/p>\n<\/details>\n

\n

Question 28.
\n\u0394PQR is a triangle right-angled at P. If PQ = 3 cm and PR = 4 cm, find QR.
\n(a) 8 cm
\n(b) 5 cm
\n(c) 7 cm
\n(d) 3 cm<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) 5 cm<\/p>\n<\/details>\n

\n

Question 29.
\nIn a \u0394ABC, which of the given condition holds?
\n(a) AB \u2212 BC > CA
\n(b) AB + BC < CA
\n(c) AB \u2212 BC < CA
\n(d) AB + CA < BC<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) AB \u2212 BC<CA<\/p>\n<\/details>\n

\n

Question 30.
\nOne of the angles of a triangle is 110\u00b0 and the other two angles are equal what is the measure of each of these equal angles
\n(a) 35\u00b0,35\u00b0
\n(b) 40\u00b0, 40\u00b0
\n(c) 11\u00b0, 11\u00b0
\n(d) 80\u00b0 , 80\u00b0<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) 35\u00b0,35\u00b0<\/p>\n<\/details>\n

\n

Question 31.
\nWhich is the longest side in the triangle ABC right angled at B?
\n(a) AB
\n(b) AC
\n(c) BC
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) AC<\/p>\n<\/details>\n

\n

Question 32.
\nWhich is the longest side of a right triangle?
\n(a) Base
\n(b) Perpendicular
\n(c) Hypotenuse
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) Hypotenuse<\/p>\n<\/details>\n

\n

Question 33.
\nA\/an _____________ connect a vertex of a triangle to the mid-point of the opposite side.
\n(a) altitude
\n(b) median
\n(c) vertex
\n(d) none of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) median<\/p>\n<\/details>\n

\n

Question 34.
\n\u0394ABC is right-angled at C. If AC = 5 cm and BC = 12 cm find the length of AB.
\n\"MCQ
\n(a) 13 cm
\n(b) 11 cm
\n(c) 20 cm
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer:<\/p>\n<\/details>\n

\n

Question 35.
\nABC is an isosceles triangle with AB = AC and AD is altitude, then ____.
\n(a) \u2220B>\u2220C
\n(b) \u2220B<\u2220C
\n(c) \u2220B=\u2220C
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) \u2220B=\u2220C<\/p>\n<\/details>\n

\n

State whether the given statements are true or false:<\/span><\/p>\n

Question 1.
\nA triangle with two right angles.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: false<\/p>\n<\/details>\n

\n

Question 2.
\nA triangle with two obtuse angles.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: false<\/p>\n<\/details>\n

\n

Question 3.
\nA triangle with two acute angles.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: true<\/p>\n<\/details>\n

\n

Question 4.
\nA triangle with all the three angles equal to 60\u00b0.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: true<\/p>\n<\/details>\n

\n

Question 5.
\nA triangle with all the three angles less than 60\u00b0.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: false<\/p>\n<\/details>\n

\n

Match the following:<\/span><\/p>\n

Question 1.<\/p>\n\n\n\n\n\n\n
1. One angle 90\u00b0<\/td>\na. Obtuse triangle<\/td>\n<\/tr>\n
2. All angles 60\u00b0<\/td>\nb. Isosceles triangle<\/td>\n<\/tr>\n
3. Two angles are equal<\/td>\nc. Right angle triangle<\/td>\n<\/tr>\n
4. One angle is greater than 90\u00b0<\/td>\nd. Equilateral triangle<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\nAnswer<\/span><\/summary>\n

Answer:<\/p>\n\n\n\n\n\n\n
1. One angle 90\u00b0<\/td>\nc. Right angle triangle<\/td>\n<\/tr>\n
2. All angles 60\u00b0<\/td>\nb. Isosceles triangle<\/td>\n<\/tr>\n
3. Two angles are equal<\/td>\nd. Equilateral triangle<\/td>\n<\/tr>\n
4. One angle is greater than 90\u00b0<\/td>\na. Obtuse triangle<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/details>\n
\n

Question 2.<\/p>\n\n\n\n\n\n\n
1. \u00a0In an isosceles triangle<\/td>\na. All the angles are equal<\/td>\n<\/tr>\n
2. \u00a0In an equilateral triangle<\/td>\nb. The third side<\/td>\n<\/tr>\n
3. \u00a0Sum of three angles<\/td>\nc. Two angles are equal<\/td>\n<\/tr>\n
4. \u00a0The sum of two sides of a<\/td>\nd. is 180\u00b0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\nAnswer<\/span><\/summary>\n

Answer:<\/p>\n\n\n\n\n\n\n
1. \u00a0In an isosceles triangle<\/td>\nc. Two angles are equal<\/td>\n<\/tr>\n
2. \u00a0In an equilateral triangle<\/td>\na. All the angles are equal<\/td>\n<\/tr>\n
3. \u00a0Sum of three angles<\/td>\nd. is 180\u00b0<\/td>\n<\/tr>\n
4. \u00a0The sum of two sides of a<\/td>\nb. The third side<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/details>\n
\n

Fill in the blanks:<\/span><\/p>\n

1. Sum of …………….. angles of the triangle is 180\u00b0.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: three<\/p>\n<\/details>\n

\n

2. The sum of any two sides of a triangle is ………….. than the third side<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: greater<\/p>\n<\/details>\n

\n

3. In a right angled triangle, the side opposite to the right angle is called the
\nthe other two sides are called ……………. and ………………..<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: hypotenuse,perpendicular base<\/p>\n<\/details>\n

\n

4. In a right angled triangle, the square of the hypotenuse equals the sum of the …………… of its sides.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: Square<\/p>\n<\/details>\n

\n

4. There are ……………….. elements of a triangle.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: six<\/p>\n<\/details>\n

\n

5. A triangle has ……………. medians and ……………… altitudes.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: three,three<\/p>\n<\/details>\n

\n

6. A ……………. is a simple closed figure made of three line segments.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: triangle<\/p>\n<\/details>\n

\n

7. The line segment that joins a vertex of a triangle to the mid-point of opposite side is called a ……………. of a triangle.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: median<\/p>\n<\/details>\n

\n

8. Perpendicular line segment from a vertex of a triangle to its opposite side is called an ………….. of the triangle.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: Altitude<\/p>\n<\/details>\n

\n

9. A triangle is said to be ………….. if all its sides are of different lengths<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: a scalene triangle<\/p>\n<\/details>\n

\n

10. A triangle is said to be ………….. if any two of its sides are equal.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: an isosceles triangle<\/p>\n<\/details>\n

\n

11. A triangle is said to be ………………… if all of its sides are equal.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: an equilateral triangle<\/p>\n<\/details>\n

\n

12. An accute triangle is if each of its angle is …………… 90\u00b0.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: less than<\/p>\n<\/details>\n

\n

13. An obtuse triangle is if one of its angle is greater than …………..<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: 90\u00b0<\/p>\n<\/details>\n

\n

14. A …………… is if one of its angle is equal to 90\u00b0.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: right triangle<\/p>\n<\/details>\n

\n

15. All the angles of a scalene triangle are ……………<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: unequal<\/p>\n<\/details>\n

\n

16. All the angles of an equilateral triangle are …………….<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: equal<\/p>\n<\/details>\n

\n

Misc. Questions:<\/span><\/p>\n

Is it possible to have a triangle with the following sides :<\/p>\n

Question 1.
\n2 cm, 3 cm, 5 cm<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: yes<\/p>\n<\/details>\n

\n

Question 2.
\n3 cm, 6 cm, 7 cm<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: yes<\/p>\n<\/details>\n

\n

Question 3.
\n6 cm, 3 cm, 2 cm<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: no<\/p>\n<\/details>\n

\n

We believe the knowledge shared regarding NCERT MCQ Questions for Class 7 Maths Chapter 6 The Triangles and its Properties with Answers Pdf free download has been useful to the possible extent. If you have any other queries regarding CBSE Class 7 Maths The Triangles and its Properties MCQs Multiple Choice Questions with Answers, feel free to reach us via the comment section and we will guide you with the possible solution.<\/p>\n","protected":false},"excerpt":{"rendered":"

Students can access the NCERT MCQ Questions for Class 7 Maths Chapter 6 The Triangles and its Properties Pdf free download aids in your exam preparation and you can get a good hold of the chapter. Use MCQ Questions for Class 7 Maths with Answers during preparation and score maximum marks in the exam. Students …<\/p>\n

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