Presentation on theme: "Quadrilaterals - Square"— Presentation transcript:
1Quadrilaterals - Square All four sides of a square are equal.All four angles of a square are right angles.Perimeter of a square = 4 × s units (s = side)Area of a square = s2 sq. units (s = side)Diagonal of a square = sqrt(2) × s (s = side)Diagonals of a square are equal and bisect each other in right angle.
2Quadrilaterals - Rectangle Opposite sides of a rectangle are equal.All four angles of a rectangle are right angles.Perimeter of a rectangle = 2 × (l + b) (l = Length, b = Breadth)Area of a rectangle = l × b (l = Length, b = Breadth)Diagonal of a rectangle = sqrt(l2 + b2) (l = Length, b = Breadth)Diagonals of a rectangle are equal and bisect each other (not in right angle however).Square is a special type of rectangle with l=b.DAbBlC
3Quadrilaterals - Rhombus All sides of a rhombus are equal. (All angles are not right angles however)Opposite sides of a rhombus are parallel to each other.Perimeter of a rhombus = 4 × s (wh. s = side)Area = s × h (Wh. s=side, h=height)Area = ½ × (d1 × d2) (wh. d1 and d2 are diagonals)Diagonals of a rhombus bisect each other in right angle. (However they are not equal)Opposite angles of a rhombus are congruent. Angles on either side are supplementary.ADd1hd2BCs
4Quadrilaterals - Parallelogram Opposite sides of a parallelogram are equal. (All angles are not right angles however)Opposite sides of a parallelogram are parallel to each other.Perimeter of a parallelogram = 2×(s1 + s2) (wh. s1 & s2 are sides)Area = s1 × h (wh. s1 = side and h = corresponding altitude)Opposites angles of a parallelogram are congruent, consecutive angles are supplementary.Diagonals bisect each other.ADd1hs2d2BCs1
5Quadrilaterals - Trapezium A quadrilateral which has at least one pair of parallel sides.Parallel sides of trapezium are called bases and non-parallel sides are called legs.Altitude of trapezium is the perpendicular distance between two bases.Area = Average width × altitude (or height) = [(s1 + s2)/2] × hAs2DhBCs1
6Quadrilaterals - Kite A A quadrilateral with two distinct pairs of equal adjacent sides.Angles between unequal sides are equal.In the figure above notice that ∠ABC = ∠ADC no matter how how you reshape the kite.Area = (d1 × d2) / 2BDd1d2C