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Section 1.6 Classify Polygons Goal • Classify polygons. IDENTIFYING POLYGONS A This is a diagram of a polygon: K M H B A POLYGON is a figure formed by three or more _______________________. The segments that form the polygon are called __________________. The SIDES of this polygon are the segments _______, _______, _______, _______, and _______. Each side intersects exactly 2 other sides at each of its endpoints. Each endpoint is a _____________. The VERTICES of this polygon are the points _______, _______, _______, _______, and _______. Two vertices that are the endpoints of the same side are called ________________________ vertices. A pair of consecutive vertices in this polygon is the points _______ and _______. A polygon is named by listing its vertices in consecutive order starting with any vertex. For example, the polygon above can be named KAMBH. Give the polygon another name. ___________ A figure is NOT considered a polygon if its sides are curved or cross each other or do not meet! Concave Polygons vs. Convex Polygons ` Convex Polygon Concave Polygon Which of the figures below are polygons? Concave or Convex? Section 1.6 Classify Polygons Some polygons are common and they are given special names. Polygons can be CLASSIFIED as follows: TRIANGLE = a polygon with _____ sides. Figure _____. A QUADRILATERAL = a polygon with _____ sides. Figure _____. PENTAGON = a polygon with _____ sides. Figure _____. HEXAGON = a polygon with _____ sides. Figure _____. HEPTAGON = a polygon with ______ sides. Figure _____. OCTAGON = a polygon with _____ sides. Figure _____. NONAGON = a polygon with _____ sides. Figure _____. DECAGON = a polygon with _____ sides. Figure _____. DODECAGON = a polygon with _____ sides. Figure _____. D B E C F H G J I N-GON = a polygon with _____ sides. Which of the polygons shown above are CONVEX? CONCAVE? Convex: Concave: Some polygons have ALL congruent sides. These are called ___________________________ polygons. Some polygons have ALL congruent angles. These are called __________________________ polygons. A polygon is ________________ if it is _________________, and _________________. Example 1: Classify the polygon by the number of sides. Tell whether the polygon is equilateral, equiangular, or regular. Example 2: The head of a bolt is shaped like a regular hexagon. The expressions shown represent side lengths of the hexagonal bolt .Find the length of a side. Example 3: The expressions (4x + 8)° and (5x – 5)° represent the measures of two of the congruent angles in a regular pentagon. Find the measure of an angle.