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Quadrilaterals - Square 1.All four sides of a square are equal. 2.All four angles of a square are right angles. 3.Perimeter of a square = 4 × s units (s.

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Presentation on theme: "Quadrilaterals - Square 1.All four sides of a square are equal. 2.All four angles of a square are right angles. 3.Perimeter of a square = 4 × s units (s."— Presentation transcript:

1 Quadrilaterals - Square 1.All four sides of a square are equal. 2.All four angles of a square are right angles. 3.Perimeter of a square = 4 × s units (s = side) 4.Area of a square = s 2 sq. units (s = side) 5.Diagonal of a square = sqrt(2) × s (s = side) 6.Diagonals of a square are equal and bisect each other in right angle.

2 Quadrilaterals - Rectangle 1.Opposite sides of a rectangle are equal. 2.All four angles of a rectangle are right angles. 3.Perimeter of a rectangle = 2 × (l + b) (l = Length, b = Breadth) 4.Area of a rectangle = l × b (l = Length, b = Breadth) 5.Diagonal of a rectangle = sqrt(l 2 + b 2 ) (l = Length, b = Breadth) 6.Diagonals of a rectangle are equal and bisect each other (not in right angle however). 7.Square is a special type of rectangle with l=b. A BC D b l

3 Quadrilaterals - Rhombus 1.All sides of a rhombus are equal. (All angles are not right angles however) 2.Opposite sides of a rhombus are parallel to each other. 3.Perimeter of a rhombus = 4 × s (wh. s = side) 4.Area = s × h (Wh. s=side, h=height) 5.Area = ½ × (d1 × d2) (wh. d1 and d2 are diagonals) 6.Diagonals of a rhombus bisect each other in right angle. (However they are not equal) 7.Opposite angles of a rhombus are congruent. Angles on either side are supplementary. A BC D s h d1 d2

4 Quadrilaterals - Parallelogram 1.Opposite sides of a parallelogram are equal. (All angles are not right angles however) 2.Opposite sides of a parallelogram are parallel to each other. 3.Perimeter of a parallelogram = 2×(s1 + s2) (wh. s1 & s2 are sides) 4.Area = s1 × h (wh. s1 = side and h = corresponding altitude) 5.Opposites angles of a parallelogram are congruent, consecutive angles are supplementary. 6.Diagonals bisect each other. A BC D s1 h d1 d2 s2

5 Quadrilaterals - Trapezium 1.A quadrilateral which has at least one pair of parallel sides. 2.Parallel sides of trapezium are called bases and non-parallel sides are called legs. 3.Altitude of trapezium is the perpendicular distance between two bases. 4.Area = Average width × altitude (or height) = [(s1 + s2)/2] × h A BC D s1 h s2

6 Quadrilaterals - Kite 1.A quadrilateral with two distinct pairs of equal adjacent sides. 2.Angles between unequal sides are equal. 3.In the figure above notice that ∠ ABC = ∠ ADC no matter how how you reshape the kite. 4.Area = (d1 × d2) / 2 A B C D d1 d2


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