Ppt -welcome to the world of polygons
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The document defines different types of polygons based on the number of sides they have, including quadrilaterals, pentagons, hexagons, heptagons, octagons, nonagons, and decagons. It provides the sum of interior angles for each polygon type and notes that polygons can be regular or irregular, with regular polygons having equal side lengths and interior angles.
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Polygons
This document discusses polygons. It defines a polygon as a closed figure with three or more sides. Examples of polygons include triangles, quadrilaterals, pentagons, hexagons, septagons, and octagons. The sum of the inner angles of an n-sided polygon is (n-2) x 180 degrees. The sum of the outer angles of any polygon is equal to 360 degrees. A regular polygon has equal sides and angles. Examples of regular polygons include equilateral triangles and squares.
Quadrilaterals
This document defines and classifies different types of quadrilaterals. It discusses convex and concave quadrilaterals, and then defines specific types including parallelograms, rectangles, squares, rhombi, trapezoids, isosceles trapezoids, and kites. It then outlines key properties of each shape type, such as parallel sides, equal lengths or angles, relationships between diagonals and sides. The document groups the quadrilaterals based on properties of congruent sides and parallel sides.
Exterior angles of a polygon
This document outlines an activity to verify that the sum of the measures of the exterior angles of any polygon is always 3600. The activity involves drawing examples of different polygons on glaze paper, extending the sides to form the exterior angles, cutting out the interior angles and rearranging them to form a full circle by joining them to the exterior angles. Through this process, it is observed that the exterior angles always sum to 3600 when rearranged, verifying the principle for polygons.
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Ppt on quadrilateral
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Triangles
Triangles are three-sided polygons that have three angles and three sides. There are three main types of triangles based on side lengths: equilateral (all sides equal), isosceles (two sides equal), and scalene (no sides equal). The interior angles of any triangle always sum to 180 degrees. Important triangle properties include the exterior angle theorem, Pythagorean theorem, and congruency criteria like SSS, SAS, ASA. Common secondary parts are the median, altitude, angle bisector, and perpendicular bisector. The area of triangles can be found using Heron's formula or other formulas based on side lengths and types of triangles.
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Perimeter
The document defines perimeter as the distance around a polygon and explains that to find the perimeter of a polygon you add up the lengths of all the sides. It provides examples of calculating the perimeter of various shapes including triangles, squares, rectangles, pentagons, and hexagons. Formulas and step-by-step workings are shown for finding the perimeter when given the measurements of the sides.
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Ppt -welcome to the world of polygons
- 2. The word ‘polygon’ is a Greek word. Poly means many and gon means angle.
- 5. A quadrilateral is a four sided polygon. There are several types quadrilateral such as rectangle, square, parallelogram, rhombus etc. The sum of the angle of a quadrilateral is 360 degree.
- 6. A pentagon is a five sided polygon. The sum of the angles of a pentagon is 540 degree.
- 7. A hexagon is a six sided polygon. The sum of the angles of a hexagon is 720 degree.
- 8. A heptagon is a seven sided polygon. The sum of the angles of a heptagon is 900 degree.
- 9. An octagon is an eight sided polygon. The sum of the angles of an octagon is 1080 degree.
- 10. A nonagon is a nine sided polygon. The sum of the angles of a nonagon is 1260 degree.
- 11. A decagon is a ten sided polygon . The sum of the angles of a decagon is 1440 degree.
- 12. A polygon with equal sides and equal angles. Example :- Equilateral triangles, square, regular pentagon etc.
- 13. In an irregular polygon, one or more sides do not equal to the length of the others.