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Lecture General mathematics: Lecture 20 - Ms. Fehmida Haroon

In this lecture we will formally define the definite integral and give many of the properties of definite integrals. The main contents of this chapter include all of the following: The definite integra, the second fundamental theorem of calculus. | General Mathematics ADE 101 Unit 3 LECTURE No. 20 POLYGONS Today’s Objectives Knowledge Test Polygons A polygon is a closed figure made by joining line segments, where each line segment intersects exactly two others. Polygon These figures are not polygons These figures are polygons Definition: A closed figure formed by line segments so that each segment intersects exactly two others, but only at their endpoints. Polygons Vertex of a Polygon The vertices of a polygon are the points where its sides intersect. Q: Is this a polygon? Why or why not? A: No Polygons are closed figures. Q: Is this a polygon? Why or why not? A: No Its sides do not intersect in exactly two places each. Q: Is this a polygon? Why or why not? A: No It is not made of line segments. A closed figure with straight sides Here are some polygons Polygon Do you know why???? These are not polygons Activity – I Activity – II Regular: A convex polygon in which all interior angles have the same measure and all sides are the same length Irregular: Two sides (or two interior angles) are not congruent. Classifications of a Polygon All angles are congruent All sides are congruent Regular Polygon Regular Polygons Regular polygons have: All side lengths congruent All angles congruent Regular Polygons A regular polygon is a polygon whose sides are all the same length, and whose angles are all the same. The sum of the angles of a polygon with n sides, where n is 3 or more, is 180° × (n - 2) degrees. Are these regular polygons? Why or why not? A: No These sides are all the different lengths, and the angles are all different. Irregular Polygons Sides and angles are not congruent. Polygon Names 3 sides Triangle 4 sides 5 sides 6 sides 7 sides 8 sides Nonagon Octagon Heptagon Hexagon Pentagon Quadrilateral 10 sides 9 sides 12 sides Decagon Dodecagon n sides n-gon Triangle 3 sides 3 angles Quadrilateral 4 sides 4 angles Pentagon A five-sided polygon. The sum of the angles of a pentagon is 540 degrees. A regular | General Mathematics ADE 101 Unit 3 LECTURE No. 20 POLYGONS Today’s Objectives Knowledge Test Polygons A polygon is a closed figure made by joining line segments, where each line segment intersects exactly two others. Polygon These figures are not polygons These figures are polygons Definition: A closed figure formed by line segments so that each segment intersects exactly two others, but only at their endpoints. Polygons Vertex of a Polygon The vertices of a polygon are the points where its sides intersect. Q: Is this a polygon? Why or why not? A: No Polygons are closed figures. Q: Is this a polygon? Why or why not? A: No Its sides do not intersect in exactly two places each. Q: Is this a polygon? Why or why not? A: No It is not made of line segments. A closed figure with straight sides Here are some polygons Polygon Do you know why???? These are not polygons Activity – I Activity – II Regular: A convex polygon in which all interior angles have the same measure and all sides are