RD Sharma Class 9 Solutions Chapter 14 - Quadrilaterals (Ex 14.2) Exercise 14.2 - Free PDF
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RD Sharma Class 9 Solutions Chapter 14 - Quadrilaterals
RD Sharma Class 9 Maths Chapter- 14 primarily contains questions based on quadrilaterals. A polygon with 4 vertices or edges & 4 sides is called a quadrilateral. There are 4 internal angles present, the sum of the interior angles of quadrilateral results to 360 degrees. Evaluate a quadrilateral QWER, with internal angles Q, W, E & R. Then, ∠Q + ∠W + ∠E + ∠R = 360°.
For developing a deep understanding of the topic, students are suggested to exercise RD Sharma textbooks daily. Quadrilaterals are classified based on their intersection nature. If they don't intersect, they are called simple quadrilaterals. Contrarily, if they happen to self-intersect, it is called a complex quadrilateral. Simple quadrilaterals are further classified into two parts- concave and convex quadrilateral, based on the position of diagonals and their interior angles.
The RD Sharma Maths Class 9 textbook follows the latest CBSE guidelines. In the 14th Chapter of Maths Class 9 RD Sharma, students will study important theories. These theories covered in RD Sharma Maths Class 9, Chapter-14, Quadrilaterals includes- Angle Sum Property of a Quadrilateral; Conditions for a Quadrilateral to Be a Parallelogram; Concept of Quadrilaterals, i.e. sides, Adjacent Sides, Opposite Sides, Angle, Adjacent Angles and Opposing Angles, diagonals of a parallelogram bisect each other at intersection points, the opposing Angles of a Parallelogram are always equal, the opposite sides of a Parallelogram Are of Equal Length., The Mid-point Theorem- a diagonal of a parallelogram splits it into two congruent triangles. If each pair of opposite angles are equal in a quadrilateral, then it's a Parallelogram. Diagonals bisecting a quadrilateral will make it a Parallelogram. Number of Exercises in RD Sharma Chapter-14 Quadrilaterals are:
FAQs on RD Sharma Class 9 Solutions Chapter 14 - Quadrilaterals (Ex 14.2) Exercise 14.2
1. What is the Angle Sum of Property in Quadrilateral?
When a diagonal is drawn in a quadrilateral, it splits it into two triangles. And it is known that the angle sum property of a triangle i.e. if we add up all three angles of a triangle, it will be 180°. Suppose there is a quadrilateral with sides PQRS. Then the sum of angles of ∆PSR= 180°. The sum of angles of ∆PQR = 180°. By adding both we get, ∠P + ∠Q + ∠R + ∠S = 360°. Thus, we know that the sum of the four angles of a quadrilateral is 360°.
2. What are the types of Quadrilaterals?
There are five types of Quadrilaterals:
Rectangle- has every angle 90°.
Square- has all equal sides and each angle is 90°.
Parallelogram- has both the pairs of opposite sides are parallel.
Rhombus- Has all equal sides.
Trapezium- has one opposite side pair that is parallel.
3. What is the importance of Quadrilaterals in our day to day life?
There are numerous ways in which quadrilaterals are used in real life. Square shapes are frequently applied for uniformity they're effortless to tessellate or design with. Same with diamonds or blocks. Figures like trapeziums with a broad foothold and a slim top are applied for construction or building. Shapes like buses or other abnormal quadrilaterals are applied for design to make stuff appear good and the eye notices because it isn't unwavering.
4. What is the marks distribution for Chapter-14 Quadrilateral in Class 9 examination?
Multiple Choice Question- 1 marks from Section A
Fill in the blanks and Very short answer question- 1 mark from section A
Long Short Answer Question- 1 question of 3 marks from Section C
Long Answer Question- 1 question of 4 marks from Section D
5. Is covering RD Sharma book good for improving understanding of Maths?
RD Sharma textbooks make your Mathematics base strong for future exams like class 10th boards, class 12th boards and various other competitive exams like WBJEE, JEE mains, JEE advanced. It makes you ready for conceptual questions of the latest expertise. It is also advisable to refer to other books like NCERT, and study materials that Vedantu exclusively offers. The study materials at Vedantu are prepared by the experts.