polygons and triangles chapter 10 lesson 4 and 5
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What is a polygon? Polygons are many-sided figures, with sides that are line segments. Polygons are named according to the number of sides and angles they have. Can be “regular” – all sides and all angles are equal to each otherTRANSCRIPT
![Page 1: Polygons and Triangles Chapter 10 Lesson 4 and 5](https://reader035.vdocument.in/reader035/viewer/2022062504/5a4d1b227f8b9ab059995c45/html5/thumbnails/1.jpg)
![Page 2: Polygons and Triangles Chapter 10 Lesson 4 and 5](https://reader035.vdocument.in/reader035/viewer/2022062504/5a4d1b227f8b9ab059995c45/html5/thumbnails/2.jpg)
Polygons are many-sided figures, with sides that are line segments. Polygons are named according to the number of sides and angles they have.
Can be “regular” – all sides and all angles are equal to each other
![Page 3: Polygons and Triangles Chapter 10 Lesson 4 and 5](https://reader035.vdocument.in/reader035/viewer/2022062504/5a4d1b227f8b9ab059995c45/html5/thumbnails/3.jpg)
All sides are congruent
All angles are congruent
![Page 4: Polygons and Triangles Chapter 10 Lesson 4 and 5](https://reader035.vdocument.in/reader035/viewer/2022062504/5a4d1b227f8b9ab059995c45/html5/thumbnails/4.jpg)
Not all sides are congruent
Not all angles are congruent
![Page 5: Polygons and Triangles Chapter 10 Lesson 4 and 5](https://reader035.vdocument.in/reader035/viewer/2022062504/5a4d1b227f8b9ab059995c45/html5/thumbnails/5.jpg)
5 sides5 angles5 vertices
Regular polygon
Irregular polygon
![Page 6: Polygons and Triangles Chapter 10 Lesson 4 and 5](https://reader035.vdocument.in/reader035/viewer/2022062504/5a4d1b227f8b9ab059995c45/html5/thumbnails/6.jpg)
6 sides6 angles6 vertices
Regular polygon
Irregular polygon
![Page 7: Polygons and Triangles Chapter 10 Lesson 4 and 5](https://reader035.vdocument.in/reader035/viewer/2022062504/5a4d1b227f8b9ab059995c45/html5/thumbnails/7.jpg)
7 sides7 angles7 vertices
Regular polygon
Irregular polygon
![Page 8: Polygons and Triangles Chapter 10 Lesson 4 and 5](https://reader035.vdocument.in/reader035/viewer/2022062504/5a4d1b227f8b9ab059995c45/html5/thumbnails/8.jpg)
8 sides8 angles8 vertices
Regular polygon
Irregular polygon
![Page 9: Polygons and Triangles Chapter 10 Lesson 4 and 5](https://reader035.vdocument.in/reader035/viewer/2022062504/5a4d1b227f8b9ab059995c45/html5/thumbnails/9.jpg)
9 sides9 angles9 vertices
Irregular polygon
Regular polygon
![Page 10: Polygons and Triangles Chapter 10 Lesson 4 and 5](https://reader035.vdocument.in/reader035/viewer/2022062504/5a4d1b227f8b9ab059995c45/html5/thumbnails/10.jpg)
10 sides10 angles10 vertices
Irregular polygon
Regular polygon
![Page 11: Polygons and Triangles Chapter 10 Lesson 4 and 5](https://reader035.vdocument.in/reader035/viewer/2022062504/5a4d1b227f8b9ab059995c45/html5/thumbnails/11.jpg)
Two sides of equal length
Three acute angles Sum of angles =
180°
![Page 12: Polygons and Triangles Chapter 10 Lesson 4 and 5](https://reader035.vdocument.in/reader035/viewer/2022062504/5a4d1b227f8b9ab059995c45/html5/thumbnails/12.jpg)
All sides equal length
Three acute angles Sum of angles =
180° Is a regular
polygon
![Page 13: Polygons and Triangles Chapter 10 Lesson 4 and 5](https://reader035.vdocument.in/reader035/viewer/2022062504/5a4d1b227f8b9ab059995c45/html5/thumbnails/13.jpg)
No sides are equal No angles are
equal May have obtuse
angle Sum of angles =
180 °
![Page 14: Polygons and Triangles Chapter 10 Lesson 4 and 5](https://reader035.vdocument.in/reader035/viewer/2022062504/5a4d1b227f8b9ab059995c45/html5/thumbnails/14.jpg)
Has one 90 ° angle
Sum of all angles 180 °
![Page 15: Polygons and Triangles Chapter 10 Lesson 4 and 5](https://reader035.vdocument.in/reader035/viewer/2022062504/5a4d1b227f8b9ab059995c45/html5/thumbnails/15.jpg)
A triangle having three acute angles.
Sum of angles = 180°
![Page 16: Polygons and Triangles Chapter 10 Lesson 4 and 5](https://reader035.vdocument.in/reader035/viewer/2022062504/5a4d1b227f8b9ab059995c45/html5/thumbnails/16.jpg)
A triangle having an obtuse angle.
Sum of all angles 180 °