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Mastering Quadrilaterals: Your Ultimate Guide to JNV Class 9 Entrance Exam Math Prep - Chapter 3

Mastering Quadrilaterals: Your Ultimate Guide to JNV Class 9 Entrance Exam Math Prep - Chapter 3 in Hindi And English


Introduction: Welcome to JNVMaths.com, your one-stop destination for all things related to Jawahar Navodaya Vidyalaya Class 9 Entrance Exam Math preparation! In this blog post, we will delve deep into Chapter 3: Understanding Quadrilaterals, helping you gain a solid understanding of the topic and ace your upcoming entrance exam.


Introduction to Quadrilaterals

  1. What is a Quadrilateral?

  2. Classification of Quadrilaterals

  3. Properties of Quadrilaterals


Types of Quadrilaterals

  • Parallelograms

  • Rectangles

  • Squares

  • Rhombuses

  • Trapeziums

  • Kites



Understanding Quadrilateral Properties

  • Sum of Angles in a Quadrilateral

  • Opposite Angles of a Parallelogram

  • Diagonals of Various Quadrilaterals


Solving Quadrilateral Problems

  • Sample Problems and Solutions

  • Tips for Problem-Solving


Preparation Strategies for the JNV Class 9 Entrance Exam

  • Creating a Study Plan

  • Recommended Resources

  • Time Management Tips


Practice, Practice, Practice

  • Sample Questions for Chapter 3

  • Mock Tests

  • Previous Year Question Papers


Additional Resources

  • Useful Websites and Books

  • Online Tutoring Options

  • Study Groups



1. निम्नलिखित में से कौन सा एक नियमित चतुर्भुज है?

ए) वर्ग

बी) ट्रैपेज़ियम

सी) पतंग

डी) आयत

उत्तर: (ए)


2. एक समांतर चतुर्भुज की परिधि जिसकी समानांतर भुजाओं की लंबाई 12 सेमी और 7 सेमी है:


a) 21 सेमी

b) 42 सेमी

c) 19 सेमी

d) 38 सेमी

उत्तर: (डी)


3. यदि ∠A और ∠C एक समांतर चतुर्भुज के दो विपरीत कोण हैं, तो:

a) ∠A > ∠C

b) ∠A = ∠C

c) ∠A < ∠C

d) उपरोक्त में से कोई नहीं

उत्तर: (बी)


4. यदि ∠A और ∠B एक समांतर चतुर्भुज के दो आसन्न कोण हैं। यदि ∠A = 70 ° है, तो ∠B = ?

a) 70°

b) 90°

c) 110°

d) 180°

उत्तर: (सी)


5. ABCD एक आयत है और AC और BD इसके विकर्ण हैं। यदि AC = 10 सेमी, तो BD है:

a) 10 सेमी

b) 5 सेमी

c) 15 सेमी

d) 20 सेमी

उत्तर: (ए)


6. एक वर्ग का प्रत्येक कोण है:

a) न्यून कोण

b) समकोण

c) अधिक कोण

d) 180 डिग्री

उत्तर: (बी)


7. निम्नलिखित में से कौन सा चतुर्भुज नहीं है?

a) वर्ग

b) आयत

c) त्रिभुज

d) समांतर चतुर्भुज

उत्तर: (सी)


8. निम्नलिखित में से किस चतुर्भुज की आसन्न भुजाओं के दो जोड़े बराबर हैं और इसके विकर्ण 90 डिग्री पर प्रतिच्छेद करते हैं?

ए) वर्ग

बी) पतंग

सी) रोम्बस

डी) आयत

उत्तर: (बी)


9. यदि AB और CD एक समांतर चतुर्भुज की दो समानांतर भुजाएँ हैं, तो:

a) AB>CD

b) AB<CD

c) AB=CD

d) उपरोक्त में से कोई नहीं

उत्तर: (सी)


10. वह चतुर्भुज जिसके विकर्ण एक दूसरे पर लंबवत हैं:

a) समांतर चतुर्भुज

b) आयत

c) पतंग

d) समचतुर्भुज

उत्तर: (डी)





1. Which of the following is a regular quadrilateral?

A) square

B) trapezium

c) kite

D) rectangle

Answer: (A)


2. Perimeter of a parallelogram whose parallel sides have lengths 12 cm and 7 cm:

a) 21 cm

b) 42 cm

c) 19 cm

d) 38 cm

Answer: (D)


3. If ∠A and ∠C are two opposite angles of a parallelogram, then:

a) ∠A > ∠C

b) ∠A = ∠C

c) ∠A < ∠C

d) none of the above

Answer: (B)


4. If ∠A and ∠B are two adjacent angles of a parallelogram. If ∠A = 70°, then ∠B = ?

a) 70°

b) 90°

c) 110°

d) 180°

Answer: (c)


5. ABCD is a rectangle and AC and BD are its diagonals. If AC = 10 cm, then BD is:

a) 10 cm

b) 5 cm

c) 15 cm

d) 20 cm

Answer: (A)


6. Each angle of a square is:

a) acute angle

b) right angle

c) obtuse angle

d) 180 degrees

Answer: (B)


7. Which of the following is not a quadrilateral?

a) class

b) rectangle

c) triangle

d) parallelogram

Answer: (c)


8. Which of the following quadrilateral has two pairs of adjacent sides equal and its diagonals intersect at 90 degrees?

A) square

B) kite

c) rhombus

D) rectangle

Answer: (B)


9. If AB and CD are two parallel sides of a parallelogram, then:

a) AB>CD

b) AB<CD

c) AB=CD

d) none of the above

Answer: (c)


10. The quadrilateral whose diagonals are perpendicular to each other:

a) parallelogram

b) rectangle

c) kite

d) rhombus

Answer: (D)


Conclusion

  • Recap of Key Points

  • Confidence-Building Techniques


By the end of this comprehensive guide, you'll not only have a strong grasp of Chapter 3 but also the confidence to tackle any Quadrilateral-related questions that may appear on your JNV Class 9 Entrance Exam. So, let's dive in and start mastering Quadrilaterals!

Remember, success comes to those who are well-prepared, and with JNVMaths.com as your study companion, you're well on your way to achieving your goals. Let's get started!

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