Chapter 8 Notes – Polygons and Area Name__________________________________ Basic Geometry 8.1 Classifying Polygons Goal: Describe polygons. Convex Polygon: a polygon in which no line that contains a side of a polygon passes through the interior of the polygon Concave Polygon: a polygon that is not convex. These __________________ on themselves. Equilateral: a polygon where all ______________ are congruent Equiangular: a polygon where all ______________ are congruent Regular: a polygon that is both _____________________ and __________________________ Decide whether the polygon is convex or concave.
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Chapter 8 Notes Polygons and Area Name Basic Geometry 8.1 ...€¦ · Chapter 8 Notes – Polygons and Area Name_____ Basic Geometry 8.1 Classifying Polygons Goal: Describe polygons.
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Chapter 8 Notes – Polygons and Area Name__________________________________ Basic Geometry
8.1 Classifying Polygons
Goal: Describe polygons.
Convex Polygon: a polygon in which no line that contains a
side of a polygon passes through the interior of the polygon
Concave Polygon: a polygon that is not convex. These
__________________ on themselves.
Equilateral: a polygon where all ______________ are
congruent
Equiangular: a polygon where all ______________ are
congruent
Regular: a polygon that is both _____________________ and
__________________________
Decide whether the polygon is convex or concave.
2
Decide whether the polygon is equilateral, equiangular, or regular.
Draw the polygon described.
a) Equilateral but not equiangular b) Convex and regular
c) Convex but not regular d) A concave hexagon
e) A convex hexagon
The polygons are regular. Find the value of x.
a) x = ______ b) x = _______ c) x = ______
3
8.2 – Discovering the Polygon Interior Angles Theorem
Name Picture with Diagonals
Number of Sides Number of Triangles Formed
Sum of Interior Angles
Triangle
Quadrilateral
Pentagon
Hexagon
Heptagon
Octagon
Nonagon
Decagon
n-gon
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8.2 Angles in Polygons
Goal: Find the measures of interior and exterior angles of polygons
Polygon Interior Angles Theorem: The sum of the measures of interior angles of a convex polygon with n
sides is ________________
Find the sum of the measures of the interior angles of the polygons below.
a) ___________ b) ___________ c) ___________
d) ___________ e) ___________ f) ___________
Decagon Heptagon 14-gon
Find the sum of the measures of the interior angles, then find 𝒎∠𝑨.
a) Sum: ___________ b) Sum: ___________ c) Sum: ___________
𝑚∠𝐴 = _________ 𝑚∠𝐴 = _________ 𝑚∠𝐴 = _________
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Polygon Exterior Angle Sum Theorem: the sum of the measures of the exterior angles of a convex polygon is ________
Find the value of x.
a) x = __________ b) x = __________ c) x = __________
Find the measure of an interior angle of the regular polygon.
a) Sum: ___________ b) Sum: ___________ c) Sum: ___________