Question
If the diagonals of a quadrilateral intersect at and separate the quadrilateral into four triangles of equal area, show that quadrilateral is a parallelogram.
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Practice questions from similar books
Question 1
Show that
the area of a rhombus is half the product of the lengths of its diagonals.
Given: A rhombus
whose
diagonals
intersect
at
To Prove: Question 2
The diagonals of quadrilateral
intersect in
Prove that if
the triangles
are equal in area.Question Text | If the diagonals
of a quadrilateral
intersect at
and separate the quadrilateral into four triangles of equal area, show that quadrilateral
is a parallelogram. |