A quadrilateral is made up of four line segments with four vertices normally named A, B, C and D. In a quadrilateral figure, four sides are the four line segments between the vertices, eg. Two sides of a quadrilateral figure which have a common endpoint i. Two sides of a quadrilateral figure that do not have a common Class 9 Maths Chapter 2 Question Answer Free endpoint are called opposite sides of a quadrilateral. A diagonal of a quadrilateral is the joining of the opposite vertices by a line segment.
If the two angles of a quadrilateral do not have a common arm, then the angles are called opposite angles. If the two angles of a quadrilateral have a common arm, then the angles are called consecutive or adjacent angles. Following are Class 9 Maths Chapter 4 Question Answer Free the different types of quadrilaterals that you will learn in this chapter:.
Trapezium: A quadrilateral in which at least one pair of opposite sides are parallel is called a trapezium. Please note that if two non-parallel sides of a trapezium are equal, then it is called an isosceles triangle. Parallelogram: A quadrilateral is a parallelogram if both pairs of opposite sides are parallel, and it is written as gm.
A quadrilateral is a parallelogram if any of the condition satisfy. A parallelogram is a trapezium but a trapezium is not a parallelogram. This is because, in a trapezium, only one pair of opposite sides is parallel whereas and in a parallelogram, both pairs of opposite sides are parallel.
Rhombus: A rhombus is a type of parallelogram in which all sides are equal. In other words, when all the four sides in a quadrilateral are equal and both pairs of opposite sides are parallel, it is called a rhombus. Rectangle: A parallelogram in which one of its angles is the right angle is called a rectangle. Kite: A kite is a quadrilateral that has two pairs of equal adjacent congruent sides.
Note that a kite is not a parallelogram. Every square, rectangle and rhombus is a parallelogram. Every square can be both rectangle and rhombus. A kite is not a parallelogram. In trapezium only one opposite pair is parallel, so it is not a parallelogram. Every rectangle or rhombus is not a square. The diagonals of a rectangle bisect each other and are of equal lengths.
The diagonals of a square bisect each other to form right angles. The diagonals of a square bisect each other at right angles and are of equal lengths. The angles of a triangle opposite to equal sides of the triangle are equal. The Diagonals of a kite bisect each other to form right angles. In a parallelogram, opposite sides are equal. In a parallelogram, opposite angles are equal.
The diagonals of a parallelogram bisect each other. In a Rhombus, all sides measure equal. The diagonals of a rhombus bisect each other. Each of the angles in a rectangle is a right angle. The diagonals of a rectangle bisect each other. The diagonals of a rectangle are equal.
Each of the angles of a square measures The diagonals of a square are of the same length. Chapter 3 Understanding of Quadrilaterals for Class 8 deals with the concepts of Quadrilaterals that you have learnt in your previous grade and introduces the angle sum property of a quadrilateral.
The important questions are prepared based on the topics that are discussed in this chapter. Let us have a quick glance at the summary of the chapter so that you can solve the important questions for Maths Chapter 3, Understanding of Quadrilaterals for Class 8. The reference notes for the chapter given above will benefit you in solving the Important Questions Of Chapter 3 of Maths for Class 8 Understanding of Quadrilaterals.
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