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Polygons and Triangles Chapter 10 Lesson 4 and 5

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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

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Page 1: Polygons and Triangles Chapter 10 Lesson 4 and 5
Page 2: Polygons and Triangles Chapter 10 Lesson 4 and 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 be “regular” – all sides and all angles are equal to each other

Page 3: Polygons and Triangles Chapter 10 Lesson 4 and 5

All sides are congruent

All angles are congruent

Page 4: Polygons and Triangles Chapter 10 Lesson 4 and 5

Not all sides are congruent

Not all angles are congruent

Page 5: Polygons and Triangles Chapter 10 Lesson 4 and 5

5 sides5 angles5 vertices

Regular polygon

Irregular polygon

Page 6: Polygons and Triangles Chapter 10 Lesson 4 and 5

6 sides6 angles6 vertices

Regular polygon

Irregular polygon

Page 7: Polygons and Triangles Chapter 10 Lesson 4 and 5

7 sides7 angles7 vertices

Regular polygon

Irregular polygon

Page 8: Polygons and Triangles Chapter 10 Lesson 4 and 5

8 sides8 angles8 vertices

Regular polygon

Irregular polygon

Page 9: Polygons and Triangles Chapter 10 Lesson 4 and 5

9 sides9 angles9 vertices

Irregular polygon

Regular polygon

Page 10: Polygons and Triangles Chapter 10 Lesson 4 and 5

10 sides10 angles10 vertices

Irregular polygon

Regular polygon

Page 11: Polygons and Triangles Chapter 10 Lesson 4 and 5

Two sides of equal length

Three acute angles Sum of angles =

180°

Page 12: Polygons and Triangles Chapter 10 Lesson 4 and 5

All sides equal length

Three acute angles Sum of angles =

180° Is a regular

polygon

Page 13: Polygons and Triangles Chapter 10 Lesson 4 and 5

No sides are equal No angles are

equal May have obtuse

angle Sum of angles =

180 °

Page 14: Polygons and Triangles Chapter 10 Lesson 4 and 5

Has one 90 ° angle

Sum of all angles 180 °

Page 15: Polygons and Triangles Chapter 10 Lesson 4 and 5

A triangle having three acute angles.

Sum of angles = 180°

Page 16: Polygons and Triangles Chapter 10 Lesson 4 and 5

A triangle having an obtuse angle.

Sum of all angles 180 °