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Quadrilateral

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Quadrilateral

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  1. QUADRILATERALS

  2. Introduction Introduction ➢We are familiar with plane figures bounded by straight line segments as sides. ➢They are known as Polygons. Polygon is a word of Greek Origin. ➢It means figure with many angles implying many sides. ➢Squares, rectangles and other four-sided geometric figures formed by the union of four line segments are called Quadrilaterals. Quadrilateral is a four-sided polygon.

  3. What are Quadrilaterals? ▪ Quadrilaterals are a two-dimensional plane figure, which has four edges and four vertices. The sides of the quadrilaterals are straight lines and joint with each other end to end. The word ‘quad’ states as four. It is nothing but a polygon which has four corners and four sides. These quadrilaterals can be seen in different shapes, regular or irregular. The examples are a kite, a deck of cards, etc. Types of Quadrilateral Trapezium Rhombus Parallelogram Square Rectangle

  4. Parallelogram • Parallelogram is a quadrilateral whose opposite sides are parallel and equal. • Properties of parallelogram :- 1. Opposite sides are equal. 2. Opposite angles are equal. 3. The consecutive angles are supplementary. 4. If any one of the angles is a right angle, then all the other angles will be a right angle. 5. The two diagonals bisect each other. 6. Each diagonal bisects the parallelogram into two congruent triangles.

  5. Rhombus ▪ A rhombus is a special type of parallelogram, in which all the sides are equal. It has all the properties of parallelogram. ▪ Properties of Rhombus :- 1. All sides are equal. 2. Opposite angles of a rhombus are equal. 3. In a rhombus, diagonals bisect each other at right angles. 4. The opposite sides of a rhombus are parallel. 5. The sum of two adjacent angles is equal to 180 degrees.

  6. Rectangle • A rectangle is a type of quadrilateral that has its parallel sides equal to each other and all the four vertices are equal to 90 degrees. Since, the opposite sides are equal and parallel, in rectangle, therefore, it can also be termed as a parallelogram. • Properties of Rectangle :- 1. The opposite sides are equal and parallel. 2. Diagonal bisect each other. 3. Perimeter is equal to twice of sum of its length and breadth. 4. It’s a parallelogram with four right angles. 5. Sum of all interior angles equal to 360 degrees.

  7. Square • Square is a regular quadrilateral, which has all the four sides of equal length and all four angles are also equal. The angles of the square are at right-angle or equal to 90-degrees. Also, the diagonals of the square are equal and bisect each other at 90 degrees. A square can also be defined as a rectangle where two opposite sides have equal length. • Properties of a Square :- • All four interior angles are equal to 90°. • All four sides of the square are equal to each other. • The opposite sides of the square are parallel to each other. • The diagonals of the square bisect each other at 90°. • The two diagonals of the square are equal to each other

  8. Trapezium • The trapezium is a quadrilateral with one pair of parallel opposite sides. The parallel sides of a trapezium are called bases and the non-parallel sides of a trapezium are called legs. It is also called a trapezoid. • Properties of Trapezium 1. In trapezium, exactly one pair of opposite sides are parallel. 2. The diagonals intersect each other. 3. The non-parallel sides in the trapezium are unequal except in isosceles trapezium.

  9. Thank You

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