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Section 3-5: The Polygon Angle-Sum Theorem
Objectives To classify polygons. To find the sums of the measures of the interior and exterior angles of a polygon.
Vocabulary Polygon Convex Polygon Concave Polygon Equilateral Polygon Equiangular Polygon Regular Polygon
Polygon A polygon is a closed plane figure with at least three sides that are segments. The sides intersect only at their endpoints and no adjacent sides are collinear.
Are the following figures polygons?
Naming a Polygon
Classification of Polygons by Sides Number of SidesName of Figure 3Triangle 4Quadrilateral 5Pentagon 6Hexagon 8Octagon 9Nonagon 10Decagon 12Dodecagon nn-gon
Convex Polygon A convex polygon has no diagonal with points outside the polygon.
Concave Polygon A concave polygon has at least one diagonal with points outside the polygon.
Classify each Polygon Classify each polygon by its sides. Identify the polygon as convex or concave.
Theorem 3-14: “Polygon Angle Sum Theorem” The measures of the angles of an n-gon is:
Finding a Polygon Angle Sum Find the sum of the measures of the angles of a 15-gon.
Using the Polygon Angle-Sum Theorem Solve for x.
Theorem 3-15: “Polygon Exterior Angle-Sum Theorem” The sum of the measures of the exterior angles of a polygon, one at each vertex, is 360º.
Equilateral Polygon An equilateral polygon has all sides congruent.
Equiangular Polygon An equiangular polygon has all angles congruent.
Regular Polygon A regular polygon is both equilateral and equiangular.
Example Find the measure of an interior angle and an exterior angle of a regular octagon.
Objectives Classify polygons based on their sides and angles.
Ch 6.1 The Polygon Angle-Sum Theorems Objectives: a) To classify Polygons b) To find the sums of the measures of the interior & exterior s of Polygons.
3.4 The Polygon Angle-Sum Theorems
3.4: The Polygon Angle-Sum Theorem
Go over quiz.
How are polygons classified?
Angles of Polygons.
Honors Geometry Sections 3.1 & 3.6 Polygons and Their Angle Measures
3.4: THE POLYGON ANGLE-SUM THEOREM OBJECTIVE: STUDENTS WILL BE ABLE TO… TO CLASSIFY POLYGONS, AND TO FIND THE SUMS OF INTERIOR AND EXTERIOR ANGLES OF POLYGONS.
6-1 The Polygon Angle-Sum Theorems
Section 3-4 Polygon Angle-Sum Theorem SPI 32A: Identify properties of plane figures from information given in a diagram Objectives: Classify Polygons Find.
Simplify the expression 6y-(2y-1)-4(3y+2) a. -8y-7b. -8y-3 c. -8y+1d. -8y warm-up 2.
Name the polygons with the following number of sides:
Chapter 3 Lesson 4 Objective: Objective: To classify polygons.
The Polygon Angle- Sum Theorems
Polygon Angles. Naming by # of sides. Polygons have specific names based on the number of sides they have: 3 – Triangle 4 – Quadrilateral 5 – Pentagon.
2.5 How Can See It? Pg. 20 Classify Polygons. 2.5 – How Can I See It?______________ Classify Polygons In this section you will discover the names of the.
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