Holt Geometry
6-1 Properties and Attributes of Polygons
Classify polygons based on their sides and angles. !
Find and use the measures of interior and exterior angles of polygons.
Objectives
side of a polygon regular polygon vertex of a polygon concave diagonal convex
Vocabulary
Holt Geometry
6-1 Properties and Attributes of Polygons
A polygon is a closed plane figure formed by three or more segments that intersect only at their endpoints.
Remember!
Key Terms
Holt Geometry
6-1 Properties and Attributes of Polygons
Names of Some Common Polygons
Holt Geometry
6-1 Properties and Attributes of PolygonsPractice: Identifying Polygons
1. Tell whether the figure is a polygon. If it is a polygon, name it by the number of sides.
Holt Geometry
6-1 Properties and Attributes of PolygonsMore Practice
2. Tell whether the figure is a polygon. If it is a polygon, name it by the number of its sides.
Holt Geometry
6-1 Properties and Attributes of Polygons
A regular polygon is one that is both equilateral and equiangular. If a polygon is not regular, it is called irregular.
Holt Geometry
6-1 Properties and Attributes of Polygons
A polygon is 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 .
Holt Geometry
6-1 Properties and Attributes of PolygonsPractice: Classifying Polygons
3. Tell whether the polygon is regular or irregular. Tell whether it is concave or convex.
Holt Geometry
6-1 Properties and Attributes of PolygonsPractice
4. Tell whether the polygon is regular or irregular. Tell whether it is concave or convex.
Holt Geometry
6-1 Properties and Attributes of Polygons
1
5 4
32
6
Holt Geometry
6-1 Properties and Attributes of Polygons
1 2
3
1 23
4
1
Background on the Polygon Angle Sum Theorem
Holt Geometry
6-1 Properties and Attributes of Polygons
Holt Geometry
6-1 Properties and Attributes of Polygons
Practice: Finding Interior Angle Measures and Sums in Polygons
5. Find the sum of the interior angle measures of a convex heptagon.
7. Find the measure of each interior angle of a regular 16-gon.
6. Find the sum of the interior angle measures of a regular 16-gon.
Holt Geometry
6-1 Properties and Attributes of Polygons
Practice: Finding Interior Angle Measures and Sums in Polygons
8. Find the measure of each interior angle of pentagon ABCDE.
Holt Geometry
6-1 Properties and Attributes of Polygons
9. Find the measure of each interior angle of a regular decagon.
Practice
Holt Geometry
6-1 Properties and Attributes of Polygons
Practice: Finding Exterior Angle Measures
10. Find the measure of each exterior angle of a regular 20-gon.
Holt Geometry
6-1 Properties and Attributes of Polygons
11. Find the measure of each exterior angle of a regular dodecagon.
Practice: Finding Exterior Angle Measures
Holt Geometry
6-1 Properties and Attributes of Polygons
12. Find the value of b in the following polygon.
Practice
Holt Geometry
6-1 Properties and Attributes of PolygonsFun: Art Application
#FUN. Felipa is making paper stars for party decorations. What is the measure of ∠1?
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![Sec 1.1 CC Geometry - Constructions€¦ · Sec 1.1 CC Geometry - Constructions Name: 1. [COPY SEGMENT] Construct a segment with an endpoint of C and congruent to the segment AB.](https://static.cupdf.com/doc/110x72/6055d428c209144213179b3c/sec-11-cc-geometry-sec-11-cc-geometry-constructions-name-1-copy-segment.jpg)
