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Find the answers to the exercises and theorems of quadrilaterals in this chapter of NCERT Class 9 Maths. Learn the basics, properties and types of quadrilaterals with examples and proofs.
- Chapter 8 – Quadrilaterals
Get the complete notes on quadrilaterals class 9 here. A...
- Chapter 8 – Quadrilaterals
Chapter-wise NCERT Solutions for Class 9 Maths Chapter 8 Quadrilaterals solved by Expert Teachers as per NCERT (CBSE) Book guidelines. CBSE Class 9 Maths Chapter 8 Quadrilaterals Exercise Questions with Solutions to help you to revise complete Syllabus and Score More marks.
- CBSE Class 9 Maths Quadrilaterals Notes:-Download Pdf Here
- The Mid-Point Theorem
- Introduction to Quadrilaterals
- Types of Quadrilaterals
Get the complete notes on quadrilaterals class 9 here. A quadrilateral is a shape which has four sides. In this article, we are going to discuss the different types of quadrilaterals such as square, rectangle, parallelogram properties with proofs. To know more about Parallelogram, visit here.
The line segment joining the midpoints of two sides of a triangle is parallel to the third side and is half of the third side In ΔABC, E – the midpoint of AB; F – the midpoint of AC Construction: Produce EF to D such that EF=DF. In ΔAEF and ΔCDF, AF=CF[ F is the midpoint of AC] ∠AFE=∠CFD[ V.O.A] EF=DF[ Construction] ∴ΔAEF≅ΔCDF[SAS rule] Hence, ∠EAF...
Quadrilaterals
Any four points in a plane, of which three are non-collinear are joined in order results into a four-sided closed figure called ‘quadrilateral’
Angle sum property of a quadrilateral
Angle sum property – Sum of angles in a quadrilateral is 360 In △ADC, ∠1+∠2+∠4=180(Angle sum property of triangle).(1) In △ABC, ∠3+∠5+∠6=180(Angle sum property of triangle)(2) (1) + (2): ∠1+∠2+∠3+∠4+∠5+∠6=360 I.e, ∠A+∠B+∠C+∠D=360 Hence proved
Trapezium
A trapezium is a quadrilateral with any one pair of opposite sides parallel. PQRS is a trapezium in which PQ||RS
Parallelogram
A parallelogram is a quadrilateral, with both pair of opposite sides parallel and equal. In a parallelogram, diagonals bisect each other. Parallelogram ABCD in which AB||CD,BC||AD and AB=CD,BC=AD
Rhombus
A rhombus is a parallelogram with all sides equal. In a rhombus, diagonals bisect each other perpendicularly A rhombus ABCD in which AB=BC=CD=AD and AC⊥BD
Get solutions of all NCERT Questions, Exercises and Theorems of Chapter 8 Class 9 Quadrilateral free at teachoo. Answers to all questions have been solved in an easy way, with video of each and every question.
3 days ago · Important concepts in class 9 quadrilaterals include the properties of parallelograms, the Midpoint Theorem, and the criteria for a quadrilateral to be a parallelogram. Vedantu's Class 9 Maths NCERT Solutions provide detailed explanations and step-by-step methods to help students grasp these concepts effectively.
- A Square is a Rectangle and a Rhombus. But Rhombus and Rectangle are not Squares.
- A parallelogram is a trapezium but a trapezium is not a parallelogram.
- Paying attention to the theorems and their usage in the notes provided would minimize the silly mistakes. A clear understanding of the steps involv...
- CBSE test papers mainly test the understanding of the students. So a clear explanation for every step would help you score more. As the Quadrilater...
- Theorem 8.2 can be stated as given below : If a quadrilateral is a parallelogram, then each pair of its opposite sides is equal. So its converse is...
- The area of the quadrilateral ABCD = Sum of areas of ΔBCD and ΔABD. Thus, the area of the quadrilateral ABCD = (1/2) × d × h1 + (1/2) × d × h2 = (1...
Such a figure formed by joining four points in an order is called a quadrilateral. In this book, we will consider only quadrilaterals of the type given in Fig. 8.1 (iii) but not as given in Fig. 8.1 (iv). A quadrilateral has four sides, four angles and four vertices [see Fig. 8.2 (i)]. Fig. 8.2.
Topics Covered: The main topics covered in class 9 maths NCERT solutions chapter 8 are the introduction of quadrilaterals, angle sum property of a quadrilateral, types of quadrilaterals, properties of a parallelogram, conditions for a quadrilateral to be a parallelogram, and the mid-point theorem.
