Polygons and Triangles Chapter 10 Lesson 4 and 5

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Presentation transcript:

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

5 sides 5 angles 5 vertices Pentagons Regular polygon Irregular polygon

Hexagons 6 sides 6 angles 6 vertices Regular polygon Irregular polygon

Heptagon 7 sides 7 angles 7 vertices Regular polygon Irregular polygon

Octagons 8 sides 8 angles 8 vertices Regular polygon Irregular polygon

Nonagon Regular polygon 9 sides 9 angles 9 vertices Irregular polygon

10 sides 10 angles 10 vertices Decagons Regular polygon Irregular 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 °