Page 2 - IX Lesson Note 1area and properties- ch 9 Area of Parallelograms and Triangles
P. 2

Figures on the Same Base and Between the Same Parallels

               If the two figures have the same base and the vertices opposite to the base is also on the line
               parallel to the base then the two figures are said to be on the same base and between the same
               parallels.


















               ∆ABC and ∆BDC have the same base and the opposite vertex is on the parallel line.
               Parallelograms  on  the  same  Base  and  between  the  same
               Parallels

               If  the  two  parallelograms  have  the  same  base  and  are  between  the  same  parallel  lines  then
               these two parallelograms must have equal area.



















               Here, ABCD and ABGH are the two parallelograms having common base i.e. AB and between
               the two parallel lines i.e. AB and HC.

               ar (ABCD) = ar (ABGH)
               Remark: The  parallelograms  having  the  same  base  and  equal  area  than  these  two
               parallelograms must lie between the same parallels.


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