Download presentation

Presentation is loading. Please wait.

Published byLinda Mease Modified over 2 years ago

1
Chapter 11 Area of Polygons and Circles

2
Angle Measures in Polygons 11.1 California State Standards 12: find and use side and angle measures of polygons 13: prove polygon angle relationships

3
investigation polygon # of sides # of triangles sum of interior angles’ measures Triangle Quadrilateral Pentagon Hexagon n-gon 31 180 o

4
investigation 180 o

5
investigation polygon # of sides # of triangles sum of interior angles’ measures Triangle Quadrilateral Pentagon Hexagon n-gon 31 180 o 42360 o

6
investigation 180 o

7
investigation polygon # of sides # of triangles sum of interior angles’ measures Triangle Quadrilateral Pentagon Hexagon n-gon 31 180 o 42360 o 53540 o

8
investigation 180 o

9
polygon # of sides # of triangles sum of interior angles’ measures Triangle Quadrilateral Pentagon Hexagon n-gon investigation 31 180 o 42360 o 53540 o 64720 o n n – 2180(n – 2) o

10
theorem Polygon Interior Angles The sum of the measures of the interior angles of a convex polygon is 180( n – 2) o n is the number of sides.

11
540 – 456 = 84 example 114 o 105 o 135 o 102 o xoxo angles of pentagon 180(5 – 2 ) 180(3 ) 540 135 114 102 + 105 456 84 o

12
corollary Regular Polygon Interior Angle The measure of each interior angle of a regular polygon is

13
180n – 360 = 165n example The measure of each interior angle of a regular polygon is 165 o. How many sides does the polygon have? 180(n – 2) = 165n -360 = -15n 24 = n

14
theorem Polygon Exterior Angles The sum of the measures of the exterior angles of a convex polygon (one at each vertex) is 360 o. 1 2 3 4 5 6

15
Knott’s Berry Farm A portable ferris wheel in England

17
Austria - Vienna: Riesenrad - the Giant Wheel at the Prater

18
example Find the value of y.y. 2yo2yo yoyo 2yo2yo yoyo 2y + y + 2y + y = 360 6y = 360 y = 60

19
corollary Regular Polygon Exterior Angle The measure of each exterior angle of a regular polygon is

20
example Find the value of x.x. xoxo

Similar presentations

OK

Geometry Chapter 10 -1 Polygons. Convex Polygon – a polygon with a line containing a side with a point in the interior of the polygon.

Geometry Chapter 10 -1 Polygons. Convex Polygon – a polygon with a line containing a side with a point in the interior of the polygon.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Convert pdf to ppt online free download Ppt on good communication skills Ppt on national stock exchange in india Download ppt on live line maintenance usa Ppt on water softening techniques of neutralization Ppt on kingdom of dreams Ppt on word association test experiment Ppt online shopping projects Ppt on total internal reflection fiber Ppt on seven segment display pin