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