Welcome to JNVMaths.com, your dedicated resource for mastering the art of Triangle in preparation for the Jawahar Navodaya Vidyalaya Class 9 Entrance Exam. In this comprehensive blog post, we'll unravel the mysteries of triangles and equip you with the knowledge and skills needed to excel in this essential area of math. By the time you finish reading this, triangles will hold no secrets for you.
The Fascinating World of Triangles
Triangles are one of the most intriguing and fundamental geometric shapes in mathematics. They crop up in various forms and have widespread applications in real life. To truly succeed in your JNV Class 9 Entrance Exam math preparation, it's imperative to comprehend triangles inside out. That's exactly what we're here to help you with.
Navigating the Blog
Our blog post on triangles is designed to be searchable and engaging. Here's how we plan to guide you through the world of triangles in approximately 1000 words:
1. Introduction to Triangles (100 words)
Get a bird's eye view of what triangles are and why they matter in mathematics and everyday life.
2. Types of Triangles (150 words)
Dive into the world of different types of triangles, such as equilateral, isosceles, and scalene triangles, and their unique characteristics.
3. Properties of Triangles (200 words)
Uncover the essential properties of triangles, including angle properties and side properties, which are crucial for solving various problems.
4. Triangle Congruence (150 words)
Learn about the concept of congruence in triangles and how it simplifies solving complex problems.
5. Special Triangles (100 words)
Explore special triangles, like right-angled triangles and the Pythagorean theorem, which have significant real-world applications.
6. Triangle Theorems and Proof (150 words)
Delve into important theorems and their proofs that are frequently tested in your entrance exam.
7. Solving Triangle Problems (100 words)
Discover problem-solving strategies and tips for tackling triangle-related questions efficiently.
8. Practical Applications (100 words)
Understand how the knowledge of triangles is used in fields such as architecture, engineering, and navigation.
Making It Searchable
To make your learning journey more accessible, we've incorporated a search feature that allows you to quickly find specific topics or questions related to triangles. You can enter keywords or phrases related to triangles, and our blog post will direct you to the relevant sections.
Stay Engaged
Throughout the blog, we'll use visuals, diagrams, and interactive elements to keep you engaged and facilitate better understanding. Be prepared to test your knowledge with interactive quizzes and real-life applications to reinforce your grasp of triangle concepts.
1. त्रिभुज ABC में, AB=BC और ∠B = 70° है। ∠A ज्ञात कीजिए
A. 70°
B. 110°
C. 55°
D. 130°
Ans: C
2. E और F त्रिभुज ABC की समान भुजाओं AB और AC के मध्यबिंदु हैं। तब:
A. BF=AC
B. BF=AF
C. CE=AB
D. BF=CE
Ans: D
3. एक समद्विबाहु त्रिभुज ABC में ऊँचाई BE और CF क्रमशः समद्विबाहु त्रिभुज की बराबर भुजाओं - AB और AC पर खींची जाती है, तो:
A. BE>CF
B. BE<CF
C. BE = CF
D. None of these
Ans: C
4. यदि त्रिभुज ABC और DBC एक ही आधार BC पर दो समद्विबाहु त्रिभुज हैं। तब:
A. ∠ABD = ∠ACD
B. ∠ABD > ∠ACD
C. ∠ABD < ∠ACD
D. None of these
Ans: A
5. यदि त्रिभुज ABC एक समबाहु त्रिभुज है, तो प्रत्येक कोण बराबर होता है:
A. 90°
B. 180°
C. 120°
D. 60°
Ans: D
6. AD एक समद्विबाहु त्रिभुज की ऊँचाई है, तो:
A. BD=CD
B. BD>CD
C. BD<CD
D. None of these
Ans: A
7. समकोण त्रिभुज ABC में, सबसे लंबी भुजा है:
A. सीधा
B. कर्ण
C. आधार
D. इनमें से कोई नहीं
Ans: B
8. त्रिभुज ABC और PQR में, AB=BC, ∠C = ∠P , और ∠B = ∠Q तो:
A. समद्विबाहु और सर्वांगसम
B. केवल समद्विबाहु
C. केवल सर्वांगसम
D. इनमें से कोई नहीं
Ans: B
9. त्रिभुज PQR में, ∠R = ∠P, QR=4 और PR = 5, PQ ज्ञात कीजिए ।
A. 2
B. 2.5
C. 4
D. 5
Ans: C
10. यदि AB=BC, BC=PR, CA=PQ, तो,
A. PQR ≅ BCA
B. BAC ≅ RPQ
C. CBA ≅ PRQ
D. ABC ≅ PQR
Ans: C
11. त्रिभुज ABC में, BC=AB और ∠B = 80° है। ∠A ज्ञात कीजिए
A. 40°
B. 50°
C. 80°
D. 100°
Ans: B
12. एक त्रिभुज की भुजाओं की लंबाई 5 सेमी और 1.5 सेमी है। तीसरी भुजा की लंबाई नहीं हो सकती:
A. 3.4
B. 3.6
C. 3.8
D. 4.1
Ans: A
13. त्रिभुज ABC में, AB=AC और ∠B = 40° है। ∠A ज्ञात कीजिए
A. 40°
B. 70°
C. 80°
D. 130°
Ans: B
14. यदि ABC ≅ FDE, ∠B = 40° और ∠A = 80° है। निम्नलिखित में से कौन सा सही है?
A. DF= 5 cm and ∠F = 60°
B. DF= 5 cm and ∠E = 60°
C. DE= 5 cm and ∠E = 60°
D. DE= 5 cm and ∠D = 40°
Ans: B
1. In triangle ABC, AB=BC and ∠B = 70°. Find ∠A
A.70°
B.110°
C.55°
D.130°
Ans: C
2. E and F are the midpoints of equal sides AB and AC of triangle ABC. Then:
A. BF=AC
B. BF=AF
C. CE=AB
D. BF=CE
Answer: D
3. In an isosceles triangle ABC, altitudes BE and CF are drawn on equal sides AB and AC of the isosceles triangle respectively, then:
A. BE>CF
B. BE<CF
C. BE = CF
D. None of these
Ans: C
4. If triangles ABC and DBC are two isosceles triangles on the same base BC. Then:
A. ∠ABD = ∠ACD
B. ∠ABD > ∠ACD
C. ∠ABD < ∠ACD
D. None of these
Ans: A
5. If triangle ABC is an equilateral triangle, then each angle is equal to:
A. 90°
B. 180°
C. 120°
D. 60°
Ans: D
6. AD is the altitude of an isosceles triangle, then:
A. BD=CD
B. BD>CD
C. BD<CD
D. None of these
Ans: A
7. In right triangle ABC, the longest side is:
A. Straight
B. hypotenuse
C. base
D. None of these
Answer: B
8. In triangle ABC and PQR, AB=BC, ∠C=∠P, and ∠B=∠Q, then:
A. Isosceles and congruent
B. Only isosceles
C. Only congruent
D. None of these
Answer: B
9. In triangle PQR, ∠R = ∠P, QR=4 and PR = 5. Find PQ.
A. 2
B. 2.5
C. 4
D. 5
Ans: C
10. If AB=BC, BC=PR, CA=PQ, then,
A. PQR ≅ BCA
B. BAC ≅ RPQ
C. CBA ≅ PRQ
D. ABC ≅ PQR
Ans: C
11. In triangle ABC, BC=AB and ∠B = 80°. Find ∠ A
A. 40°
B. 50°
C. 80°
D. 100°
Answer: B
12. The lengths of the sides of a triangle are 5 cm and 1.5 cm. The length of the third side cannot be:
A. 3.4
B. 3.6
C. 3.8
D. 4.1
Ans: A
Question:13 In triangle ABC, AB=AC and ∠B = 40°. Find ∠ A
A. 40°
B. 70°
C. 80°
D. 130°
Answer: B
14. If ABC≅ FDE, ∠B = 40° and ∠A = 80°. Which of the following is true?
A. DF= 5 cm and ∠F = 60°
B. DF= 5 cm and ∠E = 60°
C. DE= 5 cm and ∠E = 60°
D. DE= 5 cm and ∠D = 40°
Answer: B
Conclusion
By the time you finish this blog post, you'll have a solid foundation in the world of triangles, equipping you with the skills you need to tackle any triangle-related problem on the JNV Class 9 Entrance Exam. We wish you the best of luck in your preparation and exam!
Stay connected with JNVMaths.com for more math insights and tips. Happy learning!
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