Formulas/Defintions for Shapes

Question 1

Formula to find the number of diagonals (from one vertex)

Answer 1

n - 3 where n is the number of sides

Question 2

Formula to find the number of triangles formed by the diagonals formed from one vertex

Answer 2

n - 2 where n is the number of sides

Question 3

Formula for the sum of the measures of interior angles

Answer 3

180*(n-2) where n is the number of sides

Question 4

The sum of measures of all the exterior angles of a polygon

Answer 4

360

Question 5

The sum of measures of interior and exterior angles

Answer 5

180(n) where n is the number of sides

Question 6

A regular polygon is both __________ and _________.

Answer 6

Equilateral; equiangular

Question 7

Concave polygon (definition)

Answer 7

A polygon such that any part of a diagonal contains points in the exterior of the polygon

Question 8

Convex polygon (definition)

Answer 8

A polygon such that no diagonal contains points in the exterior of the polygon

Question 9

Formula for the number of diagonals

Answer 9

(n(n-3))/2 where n is the number of sides