Polygons

Question 1

What is a regular polygon?

Answer 1

A polygon in which all sides are equal in length and all interior angles are equal

Question 2

What do you call a polygon which has unequal sides and in which the interior angles are different?

Answer 2

An irregular polygon

Question 3

In polygon formulae, what does n mean?

Answer 3

n represents the number of sides

Question 4

What is the formula for finding the sum of the interior angles of a polygon?

Answer 4

180° (n-2)

Question 5

What is the formula for finding the size of the interior angles of a REGULAR polygon?

Answer 5

180° (n-2) divided by n

Question 6

If you construct five lines running from each corner to the centre of a regular pentagon, what are the properties of the triangles created?

Answer 6

They are congruent isosceles triangles
The base angles are 54°
The other angles around the midpoint equal 72°

Question 7

If you construct six lines running from each corner to the centre of a regular hexagon, what are the properties of the triangles created?

Answer 7

They will be congruent

They are all equilateral

Question 8

If you construct eight lines running from each corner to the centre of a regular octagon, what are the properties of the triangles created?

Answer 8

Congruent and isosceles
Base angles all equal 67,5
Angles around the midpoint all equal 45°