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Polygons and Triangles
Chapter 10 Lesson 4 and 5
What is a polygon?
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
Regular Polygons
All sides are congruent
All angles are congruent
Irregular Polygons
Not all sides are congruent
Not all angles are congruent
Pentagons
5 sides5 angles5 vertices
Regular polygon
Irregular polygon
Hexagons
6 sides6 angles6 vertices
Regular polygon
Irregular polygon
Heptagon
7 sides7 angles7 vertices
Regular polygon
Irregular polygon
Octagons
8 sides8 angles8 vertices
Regular polygon
Irregular polygon
Nonagon
9 sides9 angles9 vertices
Irregular polygon
Regular polygon
Decagons
10 sides10 angles10 vertices
Irregular polygon
Regular polygon
Isosceles Triangles
Two sides of equal length
Three acute angles Sum of angles =
180°
Equilateral Triangles
All sides equal length
Three acute angles Sum of angles =
180° Is a regular
polygon
Scalene Triangles
No sides are equal No angles are
equal May have obtuse
angle Sum of angles =
180 °
Right Triangle
Has one 90 ° angle
Sum of all angles 180 °
Acute Triangle
A triangle having three acute angles.
Sum of angles = 180°
Obtuse Triangle
A triangle having an obtuse angle.
Sum of all angles 180 °