Ex. 12.2 Class 9 | Ch-12 Quadrilaterals | 9th Maths Ganita Manjari Ch-12 | Complete Solution
Sanyam Bhayana - 9th & 10th
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Ex. 12.2 Class 9 | Ch-12 Quadrilaterals | 9th Maths Ganita Manjari Ch-12 | Complete Solution
2 835 просмотров · 2 нед. назад
Sanyam Bhayana - 9th & 10th
1,64 тыс. подписчиков
2 835 просмотров · 2 нед. назад
Complete solutions for Ex. 12.2 of Class 9 Maths Ganita Manjari Chapter 12 — Quadrilaterals. This lecture teaches how to logically prove the properties of Parallelograms, Rhombuses, and Rectangles. It includes True/False questions with detailed reasoning and the important theorem proving that the angle bisectors of a parallelogram form a rectangle. New NCERT 2026-27 syllabus.
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✅ TOPICS & QUESTIONS COVERED IN THIS LECTURE:
Key Concept Taught: Proving properties of Parallelograms, Rhombuses, and Rectangles.
Q1. True/False with reasoning:
(i) A parallelogram with a right angle is a rectangle.
(ii) A rhombus with perpendicular diagonals is a square.
(iii) If the diagonals of a parallelogram are equal, it's a rectangle.
Q2. Prove that if the diagonal AC of parallelogram ABCD bisects angle A, it also bisects angle C and ABCD is a rhombus.
Q3. Examining the converses of true properties based on bisecting diagonals and right angles.
Q4. Prove that the pairwise intersection points of the four angle bisectors of a parallelogram form the vertices of a rectangle.
📚 This lecture is useful for Class 9 students of CBSE, ICSE, UP Board, Bihar Board, MP Board, Haryana Board, Punjab Board, and all other state boards following the Ganita Manjari / NCERT syllabus for Session 2026-27.
👨🏫 ABOUT THE TEACHER:
Sanyam Bhayana is a Class 12 State Topper (99.8%) and Gold Medalist from Shri Ram College of Commerce (SRCC), New Delhi. He has helped hundreds of students score 100/100 in board exams.
⏱ CHAPTERS:
0:00 Introduction
0:51 Q1 (i) — Parallelogram with a right angle is a rectangle
2:42 Q1 (ii) — Rhombus with perpendicular diagonals is a square
4:08 Q1 (iii) — If diagonals of a parallelogram are equal, it's a rectangle
7:12 Q2 — Diagonal AC bisects angle A, prove it's a rhombus
16:13 Q3 — Converses of true properties (Diagonals and Rhombus proofs)
26:50 Q4 — Angle bisectors of a parallelogram form a rectangle
35:22 Conclusion
💬 Got a doubt? Drop it in the comments — Sanyam Sir answers personally.
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Class 9 Maths Ganita Manjari: • CLASS 10 MATHS FULL COURSE (2026-2027)
Ex. 12.2 of Class 9 Maths Ganita Manjari Chapter 12 — Quadrilaterals. This exercise teaches how to logically prove quadrilateral properties. Essential for CBSE, UP Board, Haryana Board, and all state boards using the new NCERT 2026-27 textbook.
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