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# Unit11

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Polygons, circles, square, rectangle, quadrilateral, pentagon, hexagon, decagon, nonagon, prallelogram, trapezium

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### Unit11

1. 1. Polygons and circles Matem´ticas 1o E.S.O. a Alberto Pardo Milan´s e -
2. 2. Alberto Pardo Milan´s e Polygons and circles
3. 3. CirclesAlberto Pardo Milan´s e Polygons and circles
4. 4. Circles What´s a Circle? A circle is the set of points in a plane that are equidistant from a given point O. The distance r from the center is called the radius, and the point O is called the center. Twice the radius is known as the diameter d = 2r.Alberto Pardo Milan´s e Polygons and circles
5. 5. TrianglesAlberto Pardo Milan´s e Polygons and circles
6. 6. Triangles What´s a Triangle? Acute, Obtuse or Right? A triangle is a closed plane ﬁgure with three sides. If all three of the angles of a triangle are all acute then is said to be acute. A triangle having an obtuse angle is called an obtuse triangle. A triangle with a right angle is called right. A right triangle has one 90o angle, an obtuse triangle has one angle that is greater than 90o , an acute triangle has all three angles less than 90o .Alberto Pardo Milan´s e Polygons and circles
7. 7. Triangles Equilateral, Isosceles or Scalene? A triangle with all sides equal is called equilateral. A triangle with two sides equal is called isosceles. A triangle with all sides a diﬀerent length is called scalene. An equilateral triangle has all three sides the same length, an isosceles triangle has two sides with the same length, a scalene triangle has all three sides diﬀerent lengths. An equilateral triangle has all three angles the same, an isosceles triangle has two equal angles, a scalene triangle has all three angles unequal.Alberto Pardo Milan´s e Polygons and circles
8. 8. Triangles Legs and Hypotenuse. Pythagorean theorem. The sides of a triangle are given special names in the case of a right triangle, with the side opposite the right angle being named the hypotenuse and the other two sides being known as the legs. Pythagorean theorem: for a right triangle with legs a and b and hypotenuse h: h2 = a2 + b2 .Alberto Pardo Milan´s e Polygons and circles
9. 9. PolygonsAlberto Pardo Milan´s e Polygons and circles
10. 10. Polygons A Figure with “many angles” A polygon is a closed plane ﬁgure with n sides. The word “polygon” derives from the Greek “poly”, meaning “many”, and “gonia”, meaning “angle”. A triangle is a polygon with three sides. A quadrilateral is a polygon with four sides. Name Triangle Quadrilateral Pentagon Hexagon Sides/angles 3 4 5 6 Name Heptagon Octagon Nonagon Decagon Sides/angles 7 8 9 10Alberto Pardo Milan´s e Polygons and circles
11. 11. Regular PolygonsAlberto Pardo Milan´s e Polygons and circles
12. 12. Regular Polygons All sides and all angles are equal. In a polygon, if all sides and angles are equal, the polygon is called regular. Every regular triangle is an equilateral triangle. A regular quadrilateral is called a square.Alberto Pardo Milan´s e Polygons and circles
13. 13. Regular Polygons Radius and apothem of Regular Polygons. For a regular polygon, the radius R is the distance from the center to a vertex of the polygon and the apothem is the distance r from the center to a side of the polygon.Alberto Pardo Milan´s e Polygons and circles
14. 14. ExercisesAlberto Pardo Milan´s e Polygons and circles