Do each sketch on a new window.
PART 1:
1.
Construct the 3 sided figure ABC.
2.
Count the number of triangles inside figure.
3.
How many degrees are in the inside of the figure? (Each Triangle inside is 180 degrees)
4.
Print LP: PART1 along with your name and what type of figure it is in a
TEXT BOX.
PART 2:
1.
Construct the 4 sided figure ABCD.
2.
Draw segment AC.
3.
Count the number of triangles inside figure.
4.
How many degrees are in the inside of the figure?
5.
Print LP: PART2 along with your name and what any 4-sided figure is called in a TEXT BOX.
PART 3:
1.
Construct the 5 sided figure ABCDE.
2.
Draw segment AC and segment AD.
3.
Count the number of triangles inside figure.
4.
How many degrees are in the inside of the figure?
5.
Print LP: PART3 long with your name and what a 5-sided figure is called in a TEXT BOX.
PART 4:
1.
Construct the 6 sided figure ABCDEF.
2.
Draw segment AC, segment AD and AE.
3.
Count the number of triangles inside figure.
4.
How many degrees are in the inside of the figure?
5.
Print LP: PART4 along with your name and what a 6-sided figure is called in a TEXT BOX.

PART 5:
1.
Construct the 7 sided figure ABCDEFG
2.
Draw segment AC, segment AD, segment AE and segment AF.
3.
Count the number of triangles inside figure.
4.
How many degrees are in the inside of the figure?
5.
Print LP: PART5 along with your name and what any 7-sided figure is called in a Text Box.
PART 6:
1.
Construct the 8 sided figure ABCDEFGH
2.
Draw segment AC, segment AD, segment AE, segment AF and segment
AG.
3.
Count the number of triangles inside figure.
4.
How many degrees are in the inside of the figure?
5.
Print LP: PART6 along with your name and what any 8-sided figure is called in a text box
Now essentially what we want to do is predict what the sum of the interior angles of any figure would be depending on the number of sides. Fill in the table that has been given to you. Use the information you found to predict the sum of the angles of a 10 sided figure, a 25 sided figure, and a 100 sided figure. Find a rule to help you find the sum of the interior angles of any sided figure (an n-sided figure)

A: Figure
(Sketch)
No sketch needed
No sketch needed
No sketch needed
B:
Number of
Sides
3
C: Number of Triangles.
D: Degrees in 1 triangle
180
E: Total Degrees in figure. C*D
180 4
5
6
7
8
10
25
180
180
180
180
180
180
180
No sketch needed
100 n 180