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Honor's PreAlgebra Polygons (chapter 105) Polygons Honor’s Pre-Algebra (chapter 10-5) Find the sum of the measures of the interior angles of each polygon. Polygon: A closed figure with 3 sides or more. quadrilateral Sides: The line segments that form a polygon. Vertex: A point where two sides of a polygon intersect. octagon Types of polygons: 3-sided triangle 4-sided quadrilateral 5-sided pentagon 6-sided hexagon 7-sided heptagon 8-sided octagon 9-sided nonagon 10-sided decagon 12-sided dodecagon pentagon Find the measure of each exterior angle and each interior angle of each regular polygon. regular decagon Vertices: More than one vertex. Diagonal: The line segment that connects two nonconsecutive vertices. regular hexagon Regular Polygon: A polygon that is equilateral (all sides are congruent) and equiangular (all angles are congruent). Interior Angles: Angles inside the polygon. Find the perimeter of each regular polygon. equilateral triangle with sides 33 ft long Exterior Angles: When a side of a polygon is extended, this special angle is formed. (The measure of all of the exterior angle equal 360º. Interior Angle Formula: (n - 2)180 n à # of sides To find the Exterior Angle: 360º ÷ # of ∠'s regular heptagon with sides 5.5 cm long 1 Honor's PreAlgebra Polygons (chapter 105) Polygons Honor’s Pre-Algebra (chapter 10-5) Find the sum of the measures of the interior angles of each polygon. Polygon: A closed figure with 3 sides or more. quadrilateral Sides: The line segments that form a polygon. Vertex: A point where two sides of a polygon intersect. octagon Types of polygons: 3-sided triangle 4-sided quadrilateral 5-sided pentagon 6-sided hexagon 7-sided heptagon 8-sided octagon 9-sided nonagon 10-sided decagon 12-sided dodecagon pentagon Find the measure of each exterior angle and each interior angle of each regular polygon. regular decagon Vertices: More than one vertex. Diagonal: The line segment that connects two nonconsecutive vertices. regular hexagon Regular Polygon: A polygon that is equilateral (all sides are congruent) and equiangular (all angles are congruent). Interior Angles: Angles inside the polygon. Find the perimeter of each regular polygon. equilateral triangle with sides 33 ft long Exterior Angles: When a side of a polygon is extended, this special angle is formed. (The measure of all of the exterior angle equal 360º. Interior Angle Formula: (n - 2)180 n à # of sides To find the Exterior Angle: 360º ÷ # of ∠'s regular heptagon with sides 5.5 cm long 2 Honor's PreAlgebra Polygons (chapter 105) 3