Presentation on theme: "UNDERSTANDING QUADRILATERALS BY:SHIVANI, VIII"— Presentation transcript:
1UNDERSTANDING QUADRILATERALS BY:SHIVANI, VIII K.V A.F.S BIDARBANGLORE REGIONUNDERSTANDINGQUADRILATERALSBY:SHIVANI, VIII
2INTRODUCTIONThe surface which is flat and plane is known as plane surface . For example paper .A curve in the plane whose starting point is also the end point and which has no other self-intersections . A simple closed curve is also known as Jordan curve
3POLYGONSimple closed curve made up of line segments is called polygon.CURVES THAT ARE POLYGONS Example 1CURVES THAT ARE NOT POLYGONSExample 2
4CLASSIFICATION OF POLYGON Number of sides or verticesClassificationSample of figure3Triangle4Quadrilateral5Pentagon6Hexagon7Heptagon8Octagon9Nonagon10Decagon
5DIAGONALSA diagonal is a line segment connecting two non – consecutive vertices of a polygon.
6CONCAVE AND CONVEX POLYGON The polygon , in which all the diagonals lie in interior is known as convex polygon.The polygon , in which some diagonals lie in exterior is known as concave polygon.
7ANGLE SUM PROPERTY The angle sum property of quadrilateral is 360. C B The angle sum property of triangle is 180 .We have divided a quadrilateral into two triangles .So, =360
8KINDS OF QUADRILATERALS Based on the nature of the sides or angles of a quadrilateral, it gets special names.
9PARALLELOGRAM A quadrilateral with each pair of opposite PROPERTIESA quadrilateral witheach pair of oppositeside parallel.Opposite sides are equalOpposite angles are equal.Diagonals bisect each other.Adjacent angles are supplementary.
10SQAURE All the sides are equal. All the angles are equal. PROPERTIESAll the sides are equal.All the angles are equal.The diagonals bisect each other.Also a rectangle.
11RECTANGLE The opposite sides are equal. Diagonals are equal. PROPERTIESThe opposite sides are equal.Diagonals are equal.Each of the angle is right angle.A parallelogram with a right angle.
12RHOMBUS of equal length. 2. All the properties of parallelogram. 1. A parallelogram with sidesof equal length.2. All the properties ofparallelogram.3. Diagonals are perpendicular to each other.
13KITE PROPERTIES A A quadrilateral with exactly two pairs of equal consec- B Dutive sides.The diagonals are perpendic-ular to each other COne of the diagonal bisect the other.In the figure m B=m D but m A= m C
14TRAPEZIUM Trapezium is a quadrilateral with a pair of parallel sides PROPERTIESTrapezium is a quadrilateral with a pair of parallel sides(NOTE: The arrow marks indicate parallel lines)