november 17, 2017 - mhsfirch.files.wordpress.com · 5/12/2017 · november 17, 2017 number of...
TRANSCRIPT
![Page 1: November 17, 2017 - mhsfirch.files.wordpress.com · 5/12/2017 · November 17, 2017 number of sides Name of polygon 3 4 5 6 7 8 10 n triangle quadrilateral pentagon hexagon heptagon](https://reader035.vdocuments.site/reader035/viewer/2022081617/601f87ebd0773146301106c0/html5/thumbnails/1.jpg)
November 17, 2017
number of sides
Name of polygon
3
4
5
6
7
8
10
n
triangle
quadrilateral
pentagon
hexagon
heptagon
octagon
decagon
n-gon
Warmup:
Complete the table by naming each polygon.
![Page 2: November 17, 2017 - mhsfirch.files.wordpress.com · 5/12/2017 · November 17, 2017 number of sides Name of polygon 3 4 5 6 7 8 10 n triangle quadrilateral pentagon hexagon heptagon](https://reader035.vdocuments.site/reader035/viewer/2022081617/601f87ebd0773146301106c0/html5/thumbnails/2.jpg)
November 17, 2017
Do not need to know just fun to know...
![Page 3: November 17, 2017 - mhsfirch.files.wordpress.com · 5/12/2017 · November 17, 2017 number of sides Name of polygon 3 4 5 6 7 8 10 n triangle quadrilateral pentagon hexagon heptagon](https://reader035.vdocuments.site/reader035/viewer/2022081617/601f87ebd0773146301106c0/html5/thumbnails/3.jpg)
November 17, 2017
Geometry Section 5.1
Polygons &
their angle measures
Learning Target:I can calculate angle measure for angles of polygons. [G.MG.1]
![Page 4: November 17, 2017 - mhsfirch.files.wordpress.com · 5/12/2017 · November 17, 2017 number of sides Name of polygon 3 4 5 6 7 8 10 n triangle quadrilateral pentagon hexagon heptagon](https://reader035.vdocuments.site/reader035/viewer/2022081617/601f87ebd0773146301106c0/html5/thumbnails/4.jpg)
November 17, 2017
polygon NOT a polygon
Polygon - a ________ plane figure with 3 or more __________ sides
and each vertex connects only ___________.
![Page 5: November 17, 2017 - mhsfirch.files.wordpress.com · 5/12/2017 · November 17, 2017 number of sides Name of polygon 3 4 5 6 7 8 10 n triangle quadrilateral pentagon hexagon heptagon](https://reader035.vdocuments.site/reader035/viewer/2022081617/601f87ebd0773146301106c0/html5/thumbnails/5.jpg)
November 17, 2017
A polygon is convex if no line that contains a side of the polygon passes through the interior of the polygon.
A polygon that is not convex is called concave.
How can you remember concave?
![Page 6: November 17, 2017 - mhsfirch.files.wordpress.com · 5/12/2017 · November 17, 2017 number of sides Name of polygon 3 4 5 6 7 8 10 n triangle quadrilateral pentagon hexagon heptagon](https://reader035.vdocuments.site/reader035/viewer/2022081617/601f87ebd0773146301106c0/html5/thumbnails/6.jpg)
November 17, 2017
polygon not a polygon convex concave
Tell whether the figure is a polygon and whether it is convex or concave.
a. b.
c. d.
(name the logo)
![Page 7: November 17, 2017 - mhsfirch.files.wordpress.com · 5/12/2017 · November 17, 2017 number of sides Name of polygon 3 4 5 6 7 8 10 n triangle quadrilateral pentagon hexagon heptagon](https://reader035.vdocuments.site/reader035/viewer/2022081617/601f87ebd0773146301106c0/html5/thumbnails/7.jpg)
November 17, 2017
A polygon is
all interior angles ≅
all sides ≅ AND all int angles ≅
all sides ≅equilateral -
equiangular -
regular -
Equilateral EquiangularRegular
![Page 8: November 17, 2017 - mhsfirch.files.wordpress.com · 5/12/2017 · November 17, 2017 number of sides Name of polygon 3 4 5 6 7 8 10 n triangle quadrilateral pentagon hexagon heptagon](https://reader035.vdocuments.site/reader035/viewer/2022081617/601f87ebd0773146301106c0/html5/thumbnails/8.jpg)
November 17, 2017
equilateral regular
Classify the polygon by the number of sides. Tell whether the polygon is equilateral, equiangular or regular. Explain your reasoning.
a. b.
c.
equiangular
d.
![Page 9: November 17, 2017 - mhsfirch.files.wordpress.com · 5/12/2017 · November 17, 2017 number of sides Name of polygon 3 4 5 6 7 8 10 n triangle quadrilateral pentagon hexagon heptagon](https://reader035.vdocuments.site/reader035/viewer/2022081617/601f87ebd0773146301106c0/html5/thumbnails/9.jpg)
November 17, 2017
Activity: Exploring the Sum of the Interior and Exterior Angles of convex polygons
![Page 10: November 17, 2017 - mhsfirch.files.wordpress.com · 5/12/2017 · November 17, 2017 number of sides Name of polygon 3 4 5 6 7 8 10 n triangle quadrilateral pentagon hexagon heptagon](https://reader035.vdocuments.site/reader035/viewer/2022081617/601f87ebd0773146301106c0/html5/thumbnails/10.jpg)
November 17, 2017
POLYGON INTERIOR ANGLES THEOREMThe sum of the measures of the interior angles of a convex polygon with n sides is
POLYGON EXTERIOR ANGLES THEOREMThe sum of the measures of the exterior angles of a convex polygon, one angle at each vertex, is ________.
m∠1 + m∠2 + m∠3 + m∠4 + m∠5 = 360
http://www.mathsisfun.com/geometry/exterior-angles-polygons.html
SUM Interior ∠s = (n – ___ ) _______
SUM Exterior ∠s = ______
![Page 11: November 17, 2017 - mhsfirch.files.wordpress.com · 5/12/2017 · November 17, 2017 number of sides Name of polygon 3 4 5 6 7 8 10 n triangle quadrilateral pentagon hexagon heptagon](https://reader035.vdocuments.site/reader035/viewer/2022081617/601f87ebd0773146301106c0/html5/thumbnails/11.jpg)
November 17, 2017
2) The sum of the interior angles of a polygon is 1980˚, classify the polygon by the number of sides.
1) Find the sum of the interior angles of
a) decagon b) 15-gon
![Page 12: November 17, 2017 - mhsfirch.files.wordpress.com · 5/12/2017 · November 17, 2017 number of sides Name of polygon 3 4 5 6 7 8 10 n triangle quadrilateral pentagon hexagon heptagon](https://reader035.vdocuments.site/reader035/viewer/2022081617/601f87ebd0773146301106c0/html5/thumbnails/12.jpg)
November 17, 2017
xo
(x + 20)˚
112˚96o
4) Find the value of x.
3) Find the value of x.Hint: find the sum of the interior angles first
Hint: find the sum of the exterior angles first
![Page 13: November 17, 2017 - mhsfirch.files.wordpress.com · 5/12/2017 · November 17, 2017 number of sides Name of polygon 3 4 5 6 7 8 10 n triangle quadrilateral pentagon hexagon heptagon](https://reader035.vdocuments.site/reader035/viewer/2022081617/601f87ebd0773146301106c0/html5/thumbnails/13.jpg)
November 17, 2017
5) Find the measure of one interior ∠ AND one exterior ∠ on a stop sign.
6) Each interior angle of the regular n-gon has a measure is 162˚. Find the value of n.
![Page 14: November 17, 2017 - mhsfirch.files.wordpress.com · 5/12/2017 · November 17, 2017 number of sides Name of polygon 3 4 5 6 7 8 10 n triangle quadrilateral pentagon hexagon heptagon](https://reader035.vdocuments.site/reader035/viewer/2022081617/601f87ebd0773146301106c0/html5/thumbnails/14.jpg)
November 17, 2017
Homework:5.1 Angles in Polygons
Sum Interior = (n – 2) • 180
Sum Exterior = 360˚
In a Regular Polygon
Each Interior =n
(n – 2) •180
Each Exterior = n 360
Assignment: 5.1 worksheet
![Page 15: November 17, 2017 - mhsfirch.files.wordpress.com · 5/12/2017 · November 17, 2017 number of sides Name of polygon 3 4 5 6 7 8 10 n triangle quadrilateral pentagon hexagon heptagon](https://reader035.vdocuments.site/reader035/viewer/2022081617/601f87ebd0773146301106c0/html5/thumbnails/15.jpg)
November 17, 2017