Yolanda wants to find out if there is a relationship between the number of sides in a polygon and the number of triangles that can
be formed by drawing diagonal from a common vertex. She starts by
drawing1 type of polygon and all the diagonals from 1 vertex, as
shown below.
Yolanda notes that for this polygon there are 8 sides, 5 diagonals, and
6 triangles.
• Clearly describe a strategy Yolanda could use to search for the
relationship between the number of sides in any polygon and the
number of triangles that can be formed by diagonals drawn from a
common vertex
Then describe this relationship using words, numbers, and/or
pictures
(3)