polygons are many-sided figures, with sides that are line segments. polygons are named according to...

Polygons and Triangles Chapter 10 Lesson 4 and 5

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Page 1: 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

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

Page 4: 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

Irregular Polygons

Not all sides are congruent

Not all angles are congruent

Page 5: 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

Pentagons

5 sides5 angles5 vertices

Regular polygon

Irregular polygon

Page 6: 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

Hexagons

6 sides6 angles6 vertices

Regular polygon

Irregular polygon

Page 7: 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

Heptagon

7 sides7 angles7 vertices

Regular polygon

Irregular polygon

Page 8: 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

Octagons

8 sides8 angles8 vertices

Regular polygon

Irregular polygon

Page 9: 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

Nonagon

9 sides9 angles9 vertices

Irregular polygon

Regular polygon

Page 10: 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

Decagons

10 sides10 angles10 vertices

Irregular polygon

Regular polygon

Page 11: 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

Isosceles Triangles

Two sides of equal length

Three acute angles Sum of angles =

180°

Page 12: 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

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 °

Page 14: 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

Right Triangle

Has one 90 ° angle

Sum of all angles 180 °

Page 15: 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

Acute Triangle

A triangle having three acute angles.

Sum of angles = 180°

Page 16: 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

Obtuse Triangle

A triangle having an obtuse angle.

Sum of all angles 180 °

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