slide1 n.
Download
Skip this Video
Loading SlideShow in 5 Seconds..
1.5: Polygons PowerPoint Presentation
Download Presentation
1.5: Polygons

Loading in 2 Seconds...

play fullscreen
1 / 16

1.5: Polygons - PowerPoint PPT Presentation


  • 54 Views
  • Uploaded on

1.5: Polygons. =convex and concave. p. 514-521. GSE’s. Primary.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about '1.5: Polygons' - izzy


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
slide1

1.5: Polygons

=convex and concave

p. 514-521

GSE’s

Primary

M(G&M)–10–2 Makes and defends conjectures, constructs geometric arguments, uses geometric properties, or uses theorems to solve problems involving angles, lines, polygons, circles, or right triangle ratios(sine, cosine, tangent) within mathematics or across disciplines or contexts (e.g., Pythagorean Theorem, Triangle Inequality Theorem).

slide2

Polygon: a closed figure with straight sides

http://en.wikipedia.org/wiki/File:Assorted_polygons.svg

slide4

Convex polygon: if you extend any side of the polygon, you will not go through the figure

Concave polygon: the opposite is true (it caves in)

triangle sum
Triangle Sum
  • The sum of the measures of the interior angles of a triangle is 180o.
  • mA + mB+ mC=180o

+ + = 180

A

B

C

example 1
Example 1
  • Name Triangle AWE by its angles

mA + mW+ mE=180o

(3x+5) + ( 8x+22) + (4x-12) = 180

A

15x + 15 = 180

15x = 165

x = 11

3x +5

mA = 3(11) +5 = 38o

8x + 22

mW = 8(11)+22 = 110o

4x - 12

W

mE = 4(11)-12 = 32o

E

Triangle AWE is obtuse

slide7

A

B

C

H

G

D

F

E

1) Pick any vertex.

2) Make a darker point at it.

3) Connect that point to every other vertice in the polygon

Write down how many non-overlapping triangles are formed.

exterior angle
Exterior angle

x

y

Extend any one side of the figure

The angle formed is the

exterior angle. It’s a linear pair

With the inside angle

slide9

Springboard p. 93

HANDOUT on investigating polygons angles

Convex Polygon Number of Number of Sum of interior Sum of ext.

sides ‘s Angles Angles

slide10

The formula for finding the sum of the interior angles of any convex polygon is :

  • The sum of all exterior angles of any convex polygon is:
regular polygons
Regular Polygons
  • Polygons where each angle and side is congruent

What is an example of a regular 4 sided polygon?

How about a 3 sided polygons?

slide13

Kite ABRN

80

Find the measure of angle N

120

120

slide15
The measure of one of the interior angles

of a regular polygon is 160. How many

sides does the regular polygon have?