Exploring. Polygons are many-sided figures, with sides that are line segments. Polygons are named according to the number of sides and angles they have.

Exploring

Polygons are many-sided figures, with sides that are line segments. Polygons are named according to the number of sides and angles they have.

Can be “regular” – all sides and all angles are equal to each other

Two sides of equal length

Three acute angles Sum of angles =

180°

All sides equal length

Three acute angles Sum of angles =

180° Is a regular

polygon

No sides are equal No angles are

equal May have obtuse

angle Sum of angles =

180 °

Opposite sides are parallel

Opposite side are equal in length

Each angle equals 90°

Sum of angles = 360°

All sides equal All angles equal

and are 90 ° each Sum of angles =

360 ° Is a regular

polygon

Two sides are parallel

Has obtuse and acute angles

Sometimes has a right angle

Sum of angles = 360 °

All four sides of equal length

Opposite angles are equal – 2 acute angles, 2 obtuse angles

Sum of angles = 360 °

Regular polygon

Opposite sides parallel

Opposite sides equal in length

Opposite angles equal

Sum of angles = 360 °

5 sides Sum of angles =

540 ° Regular polygon

6 sides Sum of angles =

720 ° Can be regular

polygon

8 sides Sum of angles =

1080 ° Can be regular

polygon

10 sides Sum of angles =

1440° Can be regular

polygon