Polygons

Question 1

Give an example for a geometrical shape which is not a polygon.

Answer 1

Circle is an example of a 2-D geometrical shape that is not a polygon.

Question 2

Give 2 examples of a convex polygon.

Answer 2

The two examples of a convex polygon are Pentagon and Hexagon.

Question 3

Which polygon has both its interior and exterior angles the same?

Answer 3

Interior angle + Exterior angle = 180 degrees

If Interior angle = Exterior angle

Then Exterior angle + Exterior angle = 180 degrees

2 Exterior angle = 180 degrees

Exterior angle = 180 / 2

Exterior angle = 90.

But Interior angle = Exterior angle = 90 deg

Number of sides n = 360/(180 – interior angle)

n = 360 /( 180 – 90)

n = 360 / 90

n = 4.

Question 4

All diagonals are inside.

Answer 4

Convex

Question 5

One or more diagonals are outside

Answer 5

Concave

Question 6

All interior angles are less than 180°

Answer 6

Convex

Question 7

At least one interior angles is greater than 180°.

Answer 7

Concave

Question 8

All sides and angles are equal?

Answer 8

Regular Polygon

Question 9

Each other’s angles and sides are not equal?

Answer 9

Irregular Polygon

Question 10

Name of a polygons

Answer 10

Triangle=3, Quadrilateral=4, Pentagon=5, Hexagon=6, Heptagon=7, Octagon=8, Nonagon=9, Decagon=10 Hendecagon=11, Dodecagon=12, Tridecagon=13, etc.