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A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles. It is formed by joining four non-collinear points.
A QUADRILATERAL IS A PLANE FIGURE THAT HAS FOUR SIDES OR EDGES, AND ALSO HAS FOUR CORNERS OR VERTICES.
1. 2. 3. 4. 5. 6. Square Rectangle Parallelogram Trapezium Rhombus kite
Square is a quadrilateral with four equal sides and angles. It's also a regular quadrilateral as both its sides and angles are equal.
Properties of squares: •All the angles of a square are 90° •All sides of a square are equal and parallel to each other •Diagonals bisect each other perpendicularly
If the side of a square is ‘a’ then, 1.Area of the square = a × a = a² 2.Perimeter of the square = 2 × (a + a) = 4a
A rectangle is a quadrilateral with four right angles. Thus, all the angles in a rectangle are equal (360°/4 = 90°). Moreover, the opposite sides of a rectangle are parallel and equal, and diagonals bisect each other.
A rectangle has three properties: •All the angles of a rectangle are 90° •Opposite sides of a rectangle are equal and Parallel •Diagonals of a rectangle bisect each other
If the length of the rectangle is L and breadth is B then, 1.Area of a rectangle = Length × Breadth or L × B 2.Perimeter of rectangle = 2 × (L + B)
A parallelogram, as the name suggests, is a simple quadrilateral whose opposite sides are parallel. Thus, it has two pairs of parallel sides. Moreover, the opposite angles in a parallelogram are equal and their diagonals bisect each other.
A parallelogram has four properties: •Opposite angles are equal •Opposite sides are equal and parallel •Diagonals bisect each other •Sum of any two adjacent angles is 180°
If the length of a parallelogram is ‘l’, breadth is ‘b’ and height is ‘h’ then: 1.Perimeter of parallelogram= 2 × (l + b) 2.Area of the parallelogram = l × h
1.Three angles of a quadrilateral are 75°, 90°and 75°, the fourth angle is (a) 90° (b) 95° (c) 105° (d) 120°
2.Calculate all the angles of a quadrilateral if they are in the ratio 2:5:4:1.
3.Find all the angles of a parallelogram if one angle is 80°.
4.The Sum of All of the Angles for a Quadrilateral Equals : a. 180° b. 270° c. 360° d. 90°