Daily Dollar Questions
Thursday:
Level 3
Diagonals.
A diagonal is a line drawn from one corner to another corner
of a polygon shape. It must go inside the polygon.
Here is a pentagram with all
of its diagonals drawn in.
The pentagon has 5 sides
and there are 5 diagonals
The 20 Dollar Question.
Sketch a hexagon.
Draw in all of its diagonals.
How many diagonals has it got?
The 40 Dollar Question.
Sketch a heptagon.
Draw in all of its diagonals.
How many diagonals has it got?
The 60 Dollar Question.
Sketch an octagon.
Draw in all of its diagonals.
How many diagonals has it got?
The 80 Dollar Question.
Use the results you have got already draw up a table like this
and try to predict how many diagonals a 9 sided polygon and
a 10 sided polygon has.
Name
Sides
Vertices
Diagonals
Quadrilateral
4
4
2
Pentagon
5
5
5
Hexagon
6
6
Heptagon
7
7
Octagon
8
8
Nonagon
9
9
Decagon
10
10
The 100 Dollar Question.
Try to work out a formula
for finding the number of
diagonals.
Use this formula to calculate
the number of diagonals a
100 sided polygon has.
Here is a 100 sided polygon.
All the diagonals have been
drawn.
How many diagonals are
here?