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1.4 Polygons Polygon Definition: A polygon is a closed figure in a plane, formed by connecting line segments endpoint to endpoint. Each segment intersects exactly two others. Side vertex Polygons! Sides Name 3 Triangle 4 Quadrilateral 5 Pentagon 6 Hexagon 7 Heptagon 8 Octagon 9 Nonagon 10 Decagon 11 Undecagon 12 Dodecagon n n-gon Diagonal Definition: A diagonal of a polygon is a line segment that connects two non-consecutive vertices. Convex vs. Concave A polygon is convex if no diagonal is outside the polygon. A polygon is concave if at least one diagonal is outside the polygon. Convex polygons Concave polygons Congruent Polygons • If polygons are congruent, then the corresponding sides and angles are congruent. • If the corresponding sides and angles are congruent, then the polygons are congruent. Your task… • Create quality definitions for the three terms on page 56. Add them to your yellow definition pages. • When finished you may begin on today’s assignment: 1.4 #1-18, 20-24, 27 Equilateral Polygons Polygons in which all sides have equal length. Equiangular Polygons Polygons in which all angles have equal measure. Regular Polygons Polygons that are both equilateral and equiangular.