triangles and cuadrilaterals

15
POLYGONS CONVEX POLYGON All of its angles are smaller than 180º At least one of its angles is bigger than 180º CONCAVE POLYGON

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Page 1: Triangles and cuadrilaterals

POLYGONS CONVEX POLYGON

All of its angles are smaller than 180º

At least one of its angles is bigger than 180º

CONCAVE POLYGON

Page 2: Triangles and cuadrilaterals

• Triangle

• Cuadrilateral

• Pentagon

• Hexagon

3 sides - 3 vertices4 sides - 4 vertices5 sides- 5 vertices6 sides- 6 vertices

POLYGONS

• …

Page 3: Triangles and cuadrilaterals

• equilateral

• isosceles

• escalene3 equal sides

3 equal angles2 equal sides

2 equal angles3 different sides

3 different angles

TRIANGLES Clasification by relative lengths of its sides

Page 4: Triangles and cuadrilaterals

• acutangle

• right

• obtusangle3 angles smaller than

90ºOne of its angles is 90ºOne of its angles is

bigger than 90º

TRIANGLES Clasification by internal angles

Page 5: Triangles and cuadrilaterals

Bisector angles

INCENTER

TRIANGLES ELEMENTS OF A TRIANGLE

It is the centre of the inscribed circumference

Page 6: Triangles and cuadrilaterals

Perpendicular bisector to each side

CIRCUMCENTRE

TRIANGLES ELEMENTS OF A TRIANGLE

It is the centre of the circumference that passes through all the vertices

Page 7: Triangles and cuadrilaterals

Medians (Straitgh lines that links a vertice to the middle point of the opposite side

INCENTRE

TRIANGLES ELEMENTS OF A TRIANGLE

It is the gravity centre

Page 8: Triangles and cuadrilaterals

Altitudes (Perpendular lines from a vertex to the opposite side)

ORTHOCENTRE

TRIANGLES ELEMENTS OF A TRIANGLE

Page 9: Triangles and cuadrilaterals

CUADRILATERALS SQUARE

• Parallel and equal length of the sides

• All the angles make 90º degrees

Page 10: Triangles and cuadrilaterals

CUADRILATERALS RECTANGLE

• Parallel sides and equal two by two

• 90º degrees angles

Page 11: Triangles and cuadrilaterals

CUADRILATERALS ROMBHUS

• Parallel sides two by two and equal lenght

• Equal angles two by two

• Perpendicular diagonals.

Page 12: Triangles and cuadrilaterals

CUADRILATERALS RHOMBOID

• Parallel and equal sides two by two

• Equal angles two by two

Page 13: Triangles and cuadrilaterals

CUADRILATERALS TRAPEZIUM

• It has two parallel sides called bases

BIGGER BASE

SMALLER BASE

Page 14: Triangles and cuadrilaterals

CUADRILATERALS TIPES OF TRAPEZIUM:

Isosceles (non parallel sides of equal lenght)

Right (two angles of 90º degrees)

Page 15: Triangles and cuadrilaterals

CUADRILATERALS TRAPEZOID

• 4 different sides

• 4 different angles