RD Sharma Chapter 14 Class 9 Maths Exercise 14.2 Solutions

RD Sharma Chapter 14 Class 9 Maths Exercise 14.2 Solutions is about the different types of quadrilaterals like Rectangle, Parallelogram, Square, Rhombus, Trapezium, etc. This article includes the definitions and examples of the topics and subtopics of the types of quadrilaterals. Also, there is a step-by-step explanation of each example given in the article or the attached PDF.

The below-attached PDF of RD Sharma Chapter 14 Class 9 Maths Exercise 14.2 Solutions has the varieties of problems mentioned based on quadrilaterals like- Rectangle, Parallelogram, Square, Rhombus, Trapezium, etc. with the example and proof. The professionals prepare this PDF after researching several previous year’s question papers of Class 9. Also added the questions from the RD Sharma and CBSE Text Book of Class 9.

Learn about RD Sharma Class 9 Chapter 14- Quadrilaterals

Download RD Sharma Chapter 14 Class 9 Maths Exercise 14.2 Solutions PDF

Solutions for Class 9 Maths Chapter 14 Quadrilaterals Exercise 14.2

Important Definitions RD Sharma Chapter 14 Class 9 Maths Exercise 14.2 Solutions

Students can see the definitions and examples on the topics and subtopics of type of the quadrilaterals in the following points. The topics and subtopics are-

1. Various types of Quadrilaterals
   1. Trapezium
   2. Parallelogram
   3. Rectangle
   4. Rhombus
   5. Square
   6. Kite
2. Properties of Parallelogram
3. Some important theorems on Quadrilaterals

Various Types of Quadrilaterals

Trapezium

It is a quadrilateral with one pair (set) of adverse parallel edges/ sides. In the trapezium, PQRS, side PQ is parallel to edges/ side RS.

Parallelogram

It is a quadrilateral with two pairs/ sets of parallel edges/ sides. The reverse sides are parallel and equivalent in length. The reverse (opposite) angles are similar in measure. In the parallelogram, PQRS, side PQ is parallel to side RS, and edges/ side PS is parallel to edges/ side QR.

Rectangle

It is a quadrilateral with all four (4) angles of the same measure. That is, each angle is 90°. Both the pairs of reverse (opposite) edges/ sides are parallel and equivalent in length.

Rhombus

It is a quadrilateral with all four (4) edges/ sides having the same lengths. The opposite (reverse) edges/ sides of a rhombus are parallel, and the opposite angles are the same.

Kite

It is a quadrilateral with two (2) pairs of equal-length edges, and these sides (edges) are adjacent/ consecutive to one another.

Square

It is a quadrilateral in which all the edges/ sides and angles are equivalent. Every angle is a right angle (90° each). The pairs of opposite (reverse) sides are parallel to one another.

Properties of Parallelogram

Properties of Square

1. All the edges of the square are similar in measure
2. The edges/ sides are parallel to one another
3. All interior angles of the square are at 90 degrees (90°- right angle)
4. The diagonals of the square perpendicular bisect (divide) each other

Properties of Rhombus

1. All the four (4) sides of a rhombus are of the equal measure
2. The opposite (reverse) sides of the rhombus are parallel to one another
3. The opposite angles are of the similar measure
4. The sum of any two adjacent/ consecutive angles of a rhombus is equal to 180 degrees (180°)
5. The diagonals perpendicularly bisect (divide) each other

Properties of Rectangle

1. The opposite (reverse) sides of a rectangle are the same in length
2. The opposite edges/ sides are parallel to one another
3. All interior angles of a rectangle are at 90 degrees (90°- right angle)
4. The diagonals of a rectangle bisect (divide) each other.

Properties of Parallelogram

1. The opposite edges/ side of the parallelogram are of the equal length
2. The opposite (reverse) sides are parallel to one another
3. The diagonals of a parallelogram bisect (divide) each other
4. The opposite (reverse) angles are of the same measure
5. The total of two adjacent/ consecutive angles of a parallelogram is equivalent to 180 degrees (180°)

Properties of Trapezium

1. Only one pair of the opposite edges/ side of a trapezium is parallel to an another
2. The two (2) adjacent sides of a trapezium are supplementary (180 degrees- 180°)
3. The diagonals of a trapezium bisect each other in the same ratio

Properties of Kite

1. The pair of adjacent/ consecutive sides of a kite are of equal length
2. The largest diagonal of a kite bisect (divide) the smallest diagonal 
3. Only one pair of opposite (reverse) angles are of equal measure.

Keypoints on Types of Quadrilaterals

• Rectangle, Square, and Rhombus are the types of parallelograms.
• A square is a rhombus and a rectangle, but both rhombus and rectangle are not square.
• A parallelogram is a trapezium but, a trapezium is not a parallelogram.
• A Kite is not a parallelogram.

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