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Published byWeston Grenfell Modified over 2 years ago

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The 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

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SSimple closed curve made up of line segments is called polygon. CURVES THAT ARE POLYGONS Example 1 CURVES THAT ARE NOT POLYGONS Example 2

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Number of sides or vertices ClassificationSample of figure 3 Triangle 4 Quadrilateral 5 Pentagon 6 Hexagon 7 Heptagon 8 Octagon 9 Nonagon 10 Decagon

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A diagonal is a line segment connecting two non – consecutive vertices of a polygon.

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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.

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TThe angle sum property of quadrilateral is 360. C B D A The angle sum property of triangle is 180. We have divided a quadrilateral into two triangles.So, =360

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Based on the nature of the sides or angles of a quadrilateral, it gets special names.

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PROPERTIES 1. A quadrilateral with each pair of opposite side parallel. 2. Opposite sides are equal 3. Opposite angles are equal. 4. Diagonals bisect each other. 5. Adjacent angles are supplementary.

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PROPERTIES 1. All the sides are equal. 2. All the angles are equal. 3. The diagonals bisect each other. 4. Also a rectangle.

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PROPERTIES 1. The opposite sides are equal. 2. Diagonals are equal. 3. Each of the angle is right angle. 4. A parallelogram with a right angle.

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PROPERTIES 1. A parallelogram with sides of equal length. 2. All the properties of parallelogram. 3. Diagonals are perpendicular to each other.

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PROPERTIES A 1. A quadrilateral with exactly two pairs of equal consec- B D utive sides. 2. The diagonals are perpendic- ular to each other. C 3. One of the diagonal bisect the other. 4. In the figure m B=m D but m A= m C

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PROPERTIES 1. Trapezium is a quadrilateral with a pair of parallel sides ( NOTE: The arrow marks indicate parallel lines)

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