Friday, 26 December 2014

FA4 Mathematics Syllabus

Class VI: Decimals
                Integers

Class VII:Algebra
                 Linear Equation

Class VIII: Direct and Indirect Variations
                   Understanding Shapes
               


Holiday HW Class VIII

Aiets Publication Worksheets No: 8MO3A, 8MO3B, 8MO3C

Properties of Trapezium


  • The areas S and T of some two opposite triangles of the four triangles formed by the diagonals satisfy the equation
\sqrt{K}=\sqrt{S}+\sqrt{T},
where K is the area of the quadrilateral.
  • The angle between a side and a diagonal is equal to the angle between the opposite side and the same diagonal.
  • The diagonals cut each other in mutually the same ratio (this ratio is the same as that between the lengths of the parallel sides).
  • The diagonals cut the quadrilateral into four triangles of which one opposite pair are similar.
  • The diagonals cut the quadrilateral into four triangles of which one opposite pair have equal areas.
  • The consecutive sides acbd and the diagonals pq satisfy the equation.
  • p^2+q^2=c^2+d^2+2ab.