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Geometry

Geometry. Quadrangle. - Shape , which has 4 sides and 4 angle . - The sum of the measures of the interior angles of any quadrangle is 360 °. Thrapezium. - Thrapezium has at least a pair of parallel sides .

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Geometry

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  1. Geometry

  2. Quadrangle - Shape, whichhas4 sides and 4 angle. - The sum of the measures of the interior angles of any quadrangleis 360 °.

  3. Thrapezium - Thrapeziumhasatleast a pair of parallelsides. - Sum of thrapezium’sangles, lyingatthe same armisequalto 180o. - Formula to calculatethearea: P - area a - lenght of higherbase b - lenght of lowerbase h - height - An isoscelesthrapezium’sdiagonalsintersectatrightangles.

  4. Parallelogram • - Parallelogramis a thrapezium. • - Ithas2 pair of parallelsides. • - His parallelsideshavethe same length. • His diagonal intersect in half of their length. • Formulato calculatethearea: • P - area • a - lenght of base • h - height

  5. Rhomboid • Rhomboidhas2 pairsides of the same lenght. • Sides of the same length are in contact with. • Angles between sides of different length are the same. • Formula to calculatethearea: • P -area • e - first diagonal • f - second diagonal

  6. Rhombus • The sum of two adjacent anglesisequal to 180o. • Thediagonalsintersectat an rightangle and dividerhombusintofourright-angledtriangles. • His sidesarethe same. • Formulato calculatethearea: P - area e - first diagonal f - second diagonal

  7. Rectangle - Rectanglehas2 pairsides of the same lenght. - His diagonalsarethe same. - All angles of rectanglehave 90o. - Rectanglehas2 pairsof parallelsides. - Formula to calculatethearea: P - area a - firstside b - secondside

  8. Square -All anglesareright. -All sidesarethe same. -His diagonal intersectatrightangles. -His diagonalsarethe same. - Formula to calculatethearea: Formula to calculatethediagonal: P – area a – side d - diagonal

  9. Triangle - Triangle has3 sides. - Sum of his anglesisequal to 180o. Types: Classification by thesides: - a scalene triangle – all his sideshavedifferentlength. - an isosceles triangle – botharmshavethe same length. - an equilateral triangle – all his sideshavethe same lenght. Classification by theangles: - an acute-angled triangle – has 3 acuteangles. - an right-angled triangle – has 1 rightangle and 2 acuteangles. - an obtuse-angledtriangle – has1 obtuseangle and 2 acuteangles. Formula to calculatethearea: P - area a - base h - height

  10. Equilateraltriangle • All sideshavethe same lenght. • Allangles are equal to60o. • Formula to calculatethearea: -Formula to calculatetheheight: P - area a - side h - height

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