Types of Quadrilateral
Types of Quadrilateral
A quadrilateral is a four sided or edges closed plane figure. As it has four edges, it has four corners or the points where the edges meet. These corners are called vertices. The various type of quadrilaterals are:
| 1. Parallelogram: It is quadrilateral in which opposite sides are parallel and equal. |  |
| 2. Rectangle: It is a special type of parallelogram in which each angle is a right angle. |  |
| 3. Square: A square is a special type of rectangle in which all the four sides are equal. |  |
| 4. Rhombus: It is a parallelogram in which all the four sides are equal, but the angles are not right angles. The diagonals bisect each other at right angles. |  |
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5. Trapezium: It is a quadrilateral in which one pair of opposite sides is parallel and other is non parallel. If the non-parallel sides are equal then it is known as isosceles trapezium because it is made from an isosceles triangle by cutting the equal sides with a line parallel to the third side. |
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6. Kite: It is a quadrilateral in which the four sides can be grouped into two pairs of equal sides that are adjacent to each other. The diagonals of a kite intersect perpendicularly. |
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Quadrilaterals can also be classified as:
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1. Convex. Quadrilaterals: It is defined as a quadrilateral in which all its interior angles less than 180°. Or we can say that all the vertices will be bulging outwards i.e. away from the interior of the shape. Both the diagonals will be inside the quadrilateral |
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2. Concave Quadrilaterals. It is defined as a quadrilateral in which one interior angle is more than 180°. Or we can say that one of the vertices will be pushed inwards i.e. towards the interior of the shape. Both the diagonals will not be inside the quadrilateral |
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3. Self-Intersecting Quadrilaterals: They are complex quadrilaterals also called crossed quadrilateral. In these quadrilaterals one of the opposite pair of sides are intersecting with each other. |
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Important Terminologies:
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Adjacent or Consecutive Sides: Two sides of a quadrilateral which have a common vertex are called Adjacent Sides.For example AB and BC as they have common vertex. Opposite Sides: The two sides of a quadrilateral which do not have a common vertex are called opposite sides. For example AB and CD Consecutive Angles: The angles of a quadrilateral which have one common arm are consecutive angles.For example Opposite Angles: The angles of a quadrilateral which do not have any common arm are consecutive angles. .For example |
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Which of the following quadrilaterals has a pair of opposite sides parallel? | |||
| Right Option : B | |||
| View Explanation | |||
Which of the following shapes represent a Square? | |||
| Right Option : A | |||
| View Explanation | |||
A trapezium has : | |||
| Right Option : A | |||
| View Explanation |
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