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# RD Sharma Solutions for Class 9 Maths Chapter 14 – Quadrilaterals Last updated date: 04th Dec 2023
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Students can refer to the RD Sharma Solutions of Class 9 Chapter 14. The solutions are based on the new and latest concepts introduced in the CBSE syllabus of mathematics. The textbooks contain the major content with the updated information and the updated syllabus, which are useful to the students while solving the problems.

Vedantu is a platform that provides free CBSE Solutions (NCERT) and other study materials for students. You can also register Online for Class 9 Science and Class 9 Maths tuition on Vedantu.com to score more marks in your examination.

## Class 9 RD Sharma Textbook Solutions Chapter 14 - Quadrilaterals

### Important Theories

• The sum of all four quadrilateral angles is 360 °.

• The diagonal of the parallelogram divides it into two interlocking triangles.

• A quadrilateral is a parallelogram if

o   The opposite sides are equal.

o   The opposing angles are equal,

o   Diagonals are divided into two.

• A quadrilateral is a parallelogram if

o   Its opposing angles are equal.

o   Its opposite sides are equal.

o   Its diagonals are split in two.

• A pair of opposite sides are equal and parallel.

• Rectangular diagonals are divided into two and are equal and opposite.

• The rhombus diagonals are separated by right angles and are not evenly spaced.

• Square diagonals divide the other two into right angles and are equal and vice versa.

• A part of a line connecting points between any two sides of a triangle corresponds to a third and is equal to half of it. (Mid-point theorem)

• A line drawn in the centre of one side of the triangle, in line with the other side, crosses the third side in its centre. (Speaking of mid-point theorem)

• A quadrilateral formed by combining points between quadrilateral sides, taken in sequence, parallelogram.

• In a quadrilateral, if the diagonals divide by two, then form a parallelogram.

### Properties of a Parallelogram:

• A diagonal of a parallelogram, dividing it into parallel triangles.

• In parallelograms, the opposing sides are equal.

• In parallelograms, opposing angles are equal.

• The diagonal of the parallelogram is divided into two parts.

The sum of the four quadrilateral angles is 360 °. Angle Sum Property when we draw a quadrilateral diagonal, it divides it into two triangles.

We also know that the angle sum property of a triangle i.e. the sum of all the three angles of the triangle is 180 °.

Total angle ∆ADC = 180 °.

Total angle ∆ABC = 180 °.

By adding both we get ∠A + ∠B + ∠C + ∠D = 360 °

Thus, the sum of four quadrilateral angles is 360 °.

### The Mid-point Theorem

• If a line segment joins the midpoints of the two sides of the triangle then it will be parallel to the third side of the triangle.

• If AB = BC and CD = DE then BD ∥ AE.

• If a line starts from the midpoint of one line and that line is parallel to the third line then it will intersect the midpoint of the third line.

• If D is the midpoint of AB and DE∥ BC then E is the midpoint of AC.

### Benefits of Studying RD Sharma Solutions for Class 9 Chapter 14 Quadrilaterals from Vedantu

• Vedantu RD Sharma Class 9 Maths Solutions is believed to be one of the best online resources you can rely on to prepare for your exam.

• Vedantu RD Sharma solutions were developed to adhere to CBSE guidelines. Our experts have designed solutions in simple steps, straightforward and easy to understand.

• When you refer to these solutions, you do not need a teacher or teacher's guidance to solve RD Sharma problems for class 9 chapter 14. This is the ultimate solution. Vedantu RD Sharma Solutions will really bring a good increase in your school performance in your exams.

### Is it important to practice RD Sharma Solutions for Class 9 Maths Chapter 14 Daily?

Yes, students who practice RD Sharma Solutions Class 9 Chapter 14 daily understand complex concepts in a simple way. These solutions provide a clear description of each step that helps students grasp a variety of ways to solve problems easily. The expertise of experts has developed solutions in an accurate way with the aim of developing cognitive knowledge among students.

## FAQs on RD Sharma Solutions for Class 9 Maths Chapter 14 – Quadrilaterals

1. What are the properties of Rhombus?

A rhombus is a parallel program with four equal sides and equal opposing angles. A rhombus can be square, or if it has two sharp angles and two obtuse angles, it takes the form of a diamond.

Properties of a rhombus are:

• All the sides are of equal length.

• Opposite angles are in congruence

• The diagonals are perpendicular and they also intersect each other

• Adjacent angles form supplementary angles

2. Is a rectangle a quadrilateral?

Yes, a rectangle is a quadrilateral with four right angles. The opposite sides of a rectangle are parallel and equal, and diagonals bisect each other. A parallelogram is a quadrilateral with 2 pairs of parallel sides. The opposite sides of each square are parallel, so each square is a parallelogram. Rectangular and rectangular are quadrilateral with the following characteristics: The opposing sides are equal in length. The two diagonals are equal in length. It has two lines of light symmetry and rotational symmetry of order 2 (at 180 °).

3. Is a quadrilateral always a parallelogram?

A Quadrilateral is only a four-sided figure and has no specific features, whereas a Parallelogram is a four-sided figure with opposite sides parallel and equal. Therefore a Quadrilateral is not a Parallelogram but a Parallelogram is a Quadrilateral. The parallelogram is a quadrilateral in which the pairs of both opposite sides are parallel. The opposing sides are aligned; nearby angles are also added; the diagonals are split in two. If the quadrilateral has one pair of both parallel and parallel sides. When all the opposite quadrilateral sides are connected. Both pairs of opposite sides are parallel. 4) Opposing angles are compatible.

4. Is it important to take mock tests for Class 9 Chapter 14 Quadrilaterals?

When you study for Class 9 Chapter 14 quadrilaterals mock tests are the practice test or you can say the blueprint of the main exam. The students of class 9 will avoid making mistakes and learn from their mistakes if before appearing in the main examination the candidates undergo a mock test. The exam marking system and test pattern will also be revealed to the students if they take a mock test. This is because the pattern and marking scheme of the examination runs parallel to that of the main exam. For the sake of the candidates, Vedantu is providing RD Sharma Class 9 Chapter 14 Quadrilateral Solutions, so that the students of Class 9 can prepare enthusiastically for the subject.

5. How do RD Sharma Mathematics Classes Solutions 9 Chapter 14 help in getting high marks among CBSE students?

Following RD Sharma Solutions helps students eliminate their immediate doubts that arise while reviewing textbook problems. Ongoing practice of these solutions develops important skills from a test perspective. Solutions are developed in a way that fully utilizes professional expertise to help CBSE students achieve the desired points in the tests. Students can refer to RD Sharma Solutions for 9th-grade Maths topics, for all the different topics in the chapters. These reference books are useful for focusing on major topics and chapters on mathematical topics. The available RD Sharma solutions have been carefully written with great care and attention by Indian students. The books contain great content with new information and an updated syllabus, which is helpful in the learning process.