Quadrilaterals - Square

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Presentation transcript:

Quadrilaterals - 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.

Quadrilaterals - 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. D A b B l C

Quadrilaterals - 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. A D d1 h d2 B C s

Quadrilaterals - 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. A D d1 h s2 d2 B C s1

Quadrilaterals - 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] × h A s2 D h B C s1

Quadrilaterals - 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) / 2 B D d1 d2 C