Polygon Properties

Question 1

Convex

Answer 1

a straight line drawn through a convex polygon crosses at most two sides. Every interior angle is less than 180°.

Question 2

Concave

Answer 2

you can draw at least one straight line through a concave polygon that crosses more than two sides. At least one interior angle is more than 180°.

Question 3

Area

Answer 3

(1/2) N sin(360°/N) S2

Question 4

Sum

Answer 4

(N - 2) x 180

Question 5

diagonals in a polygon

Answer 5

1/2 N(N-3)