Presentation on theme: "UNDERSTANDING QUADRILATERALS BY:SHIVANI, VIII"— Presentation transcript:
1 UNDERSTANDING QUADRILATERALS BY:SHIVANI, VIII K.V A.F.S BIDARBANGLORE REGIONUNDERSTANDINGQUADRILATERALSBY:SHIVANI, VIII
2 INTRODUCTIONThe 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
3 POLYGONSimple closed curve made up of line segments is called polygon.CURVES THAT ARE POLYGONS Example 1CURVES THAT ARE NOT POLYGONSExample 2
4 CLASSIFICATION OF POLYGON Number of sides or verticesClassificationSample of figure3Triangle4Quadrilateral5Pentagon6Hexagon7Heptagon8Octagon9Nonagon10Decagon
5 DIAGONALSA diagonal is a line segment connecting two non – consecutive vertices of a polygon.
6 CONCAVE 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.
7 ANGLE 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
8 KINDS OF QUADRILATERALS Based on the nature of the sides or angles of a quadrilateral, it gets special names.
9 PARALLELOGRAM 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.
10 SQAURE 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.
11 RECTANGLE 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.
12 RHOMBUS 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.
13 KITE 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
14 TRAPEZIUM 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)