# Concise Mathematics Class 8 ICSE Solutions for Chapter 17 - Special Types of Quadrilaterals

## ICSE Class 8 Mathematics Chapter 17 Selina Concise Solutions - Free PDF Download

Selina Concise Mathematics Class 8 Solutions Chapter 17: Special types of Quadrilaterals, are undoubtedly a very helpful study material for the students studying in ICSE Class 8. Vedantu Selina Solutions are provided here in a PDF format that can help the students prepare effectively for their exams. These Concise Maths solutions will help all students to get a clear idea of the basic concepts and properties of some special types of quadrilaterals.

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ICSE Class 8 Maths Solutions for Special Types of Quadrilaterals help students to learn and understand one of the crucial and scoring topics in ICSE Class 8. Following these solutions for ICSE Class 8 Mathematics will enable students to score well in the examination.

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### Quadrilateral

A figure bounded by four line segments such that no three lines are parallel is called a quadrilateral.

A quadrilateral has four sides, four vertices, and four angles.

The below-given example is written as □ABCD and read as quadrilateral ABCD.

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### Terms Related to Quadrilateral

Opposite Sides: Any two sides with no common vertex between them are called opposite sides. In the above figure, side AB and DC; Side AD and BC are the two pairs of opposite sides.

Opposite Angles: Two angles of a quadrilateral are said to be opposite angles if they don’t have any common arm. In the above figure, ∠A and ∠C; ∠B and ∠D, are two pairs of opposite angles.

Adjacent Sides: Two sides of a quadrilateral with a common vertex between them are called adjacent sides. In the above figure side AB and BC; side BC and CD; side CD and DA; side DA and AB are the four pairs of adjacent sides also called consecutive sides.

Adjacent Angles: Two angles of a quadrilateral are said to be adjacent angles if the angles have a common arm. In the above figure ∠A and ∠B; ∠B and ∠C, ∠C, and ∠D; ∠D and ∠A are the four pairs of adjacent angles. These angles are also called consecutive angles.

### Special Types of Quadrilateral

There are six types of quadrilaterals and these are as follows.

Parallelogram: A quadrilateral that has its opposite sides equal and parallel to each other is a parallelogram. Its opposite angles are also equal to each other.

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Rectangle: A quadrilateral that has its opposite sides equal and all the angles are right angles(900) is called a rectangle.

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Square: A quadrilateral that has all its four sides equal, and opposite sides parallel, and all the angles equal to right angles(900) is called a square.

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Rhombus: A quadrilateral that has all its sides equal and its diagonals bisect each other at 900 is called a rhombus.

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Trapezium: A quadrilateral that has only one pair of sides as parallel and the other two sides are non-parallel is called a trapezium. The sides may or may not be equal to each other.

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Kite: A kite is a quadrilateral that has two pairs of equal and adjacent sides, whereas the sides opposite to one another are unequal.

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### Quadrilateral Angles

As we know that a quadrilateral has four angles. The sum of the angles of a quadrilateral is 3600.

The sum of all the angles of the □ABCD, ∠A +∠B + ∠C + ∠D = 360°.

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In the case of square and rectangle, the measure of all the angles is 900.

Therefore, if ABCD is a square or a rectangle, we will have ∠A = ∠B = ∠C = ∠D = 90°.

### Angle Sum Property of Quadrilateral Theorem

The angle sum property of a quadrilateral theorem says:

The sum of the measures of four angles of a quadrilateral is 3600 ∠ABC + ∠BCD + ∠CDA + ∠DAB = 360°.

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Vedantu Selina ICSE Chapter 17 Special Types of Quadrilaterals Solutions for Class 8 all questions are answered and explained by experienced teachers as per the ICSE board guidelines. So download and refer to these Selina ICSE Solutions for Class 8 to get good marks in ICSE Class 8 Examinations.

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