Quadrilaterals Questions and Answers – Free PDF Download
Class 9 Maths NCERT Chapter 8: Quadrilaterals (Exercise 8.1)
Exercise 8.1 of Chapter 8 Quadrilaterals introduces students to the definitions and core properties of various types of quadrilaterals. These include parallelograms, rectangles, rhombuses, squares, and trapeziums—all foundational shapes in geometry.
Important Links:-
Understanding the relationships between sides and angles in each figure is essential for mastering this exercise. These basic concepts prepare students for more advanced geometrical reasoning in subsequent exercises.
📚 Glance at NCERT Solutions for Chapter 8 Exercise 8.1 – By Methify.in
- Topics Covered:
- Definitions and types of quadrilaterals
- Properties of parallelograms, rectangles, rhombuses, squares, and trapeziums
- Angle sum property of quadrilaterals
- Diagonal properties in parallelograms
- Important Formulas:
- Angle Sum Property: Sum of angles in any quadrilateral = 360°
- Parallelogram: Opposite sides and angles are equal; diagonals bisect each other
- Rectangle: All angles are 90°; diagonals are equal
- Rhombus: All sides equal; diagonals bisect at right angles
- Visual Learning:
Methify.in provides links to video tutorials for Exercise 8.1 to help students strengthen their conceptual understanding and improve their problem-solving accuracy. - Question Count:
Exercise 8.1 contains 7+ questions, each designed to reinforce understanding of key quadrilateral concepts.
🔍 Highlighted Concept: Properties of Parallelograms
- Opposite sides are equal: AB = CD and AD = BC
- Opposite angles are equal: angle A = angle C, and angle B = angle D
- Diagonals bisect each other (though not necessarily equal)
Q. 1. If the diagonals of a parallelogram are equal, then show that it is a rectangle.
Solution:-
Q. 2. Show that the diagonals of a square are equal and bisect each other at right angles.
Solution:-
Q. 3. Diagonal AC of a parallelogram ABCD bisects angle A (see Fig. 8.11). Show that
(i) it bisects angle C also,
(ii) ABCD is a rhombus.
Solution:-
Q. 4. ABCD is a rectangle in which diagonal AC bisects angle A as well as angle C. Show that: (i) ABCD is a square (ii) diagonal BD bisects angle B as well as angle D.
Solution:-
Solution:-
Solution:-
Solution:-
Methify.in’s Class 9 Maths NCERT Solutions offer detailed, step-by-step explanations designed to help students comprehend these concepts with precision. With a focus on clarity, structure, and CBSE alignment, these solutions guide learners in building a strong base in geometry and problem-solving.
Important Links:-
Access Exercise wise NCERT Solutions for Chapter 8 Maths Class 9