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
