71 - Polygon Formulas

A concave polygon: a) °Always has at least one reflex (between 180 and 360 °) angle b) A line segment joining two points of a concave polygon can contain points in the exterior of the polygon Example: Which figure is a convex polygon, concave polygon, or not a polygon? Special names for polygons with fixed numbers of sides Number of sides

Decide whether the polygon is convex or ,concave

A polygon that is not convex is called concave A polygon is equilateral if all of its sides are congruent A polygon is equiangular if all of its interior angles are congruent A polygon is regular if it is both equilateral and equiangular DATE Decide whether the polygon is convex or ,concave None of the extended sides pass through the interior

Chapter 3 –Polygons and Quadrilaterals

intersect the polygon at two points (vertices) They will also always lie on the inside of a convex polygon b) Diagonals in concave polygons can lie both inside and outside of the polygon They may also intersect the polygon at more than two points We can see in the diagram below the convex polygon has 4 internal

81 Classifying Polygons

Sketch a concave polygon 2 Describe the difference between an equilateral polygon and an equiangular polygon 3 What is a regular polygon? Decide whether the polygon shown in black is convex or concave 4 5 6 Match the polygon with the description A concave B equilateral C convex equiangular 7 8 9 Convex and Concave Polygons

61 Notes: Polygons and Angles

Polygon Regular polygon Convex polygon Concave polygon The sum of the interior angle measures of an n-sided convex polygon is: Example 1: Find the sum of the measures of the interior angles in a decagon Example 2: Find the measure of each angle in the polygon shown

POLYGONS, TESSELLATIONS, AND AREA

concave polygon – A concave polygon is a polygon which has sides that, when extended, lie within the interior of the polygon concave polygons Example 2: Which polygon is convex? Please explain Choice B is the convex polygon A convex polygon is a polygon in which none of its sides lie in the interior of the polygon when they are extended

66-1-1 Properties and Attributes of Polygons

A polygon is concave if any part of a diagonal contains points in the exterior of the polygon If no diagonal contains points in the exterior, then the polygon is convex A regular polygon is always convex

Polygons and Quadrilaterals

A regular polygon is one that is both equilateral and equiangular If a polygon is not regular, it is called irregular Objectives Classify polygons based on their sides and angles Find and use the measures of interior and exterior angles of polygons Vocabulary side of a polygon vertex of a polygon diagonal regular polygon concave convex A