Question

show that diagonals of a parallelogram divide it into 4 triangles of equal area

Answer 1

Diagonals if a parallelogram divide it into 4 triangles is equal area.



And also diagonals divide the parallelogram into 4 triangles such that

Pair of opposite triangle are congruent..

We know that diagonals of a parallelogram bisect each other.

When you consider ∆ABC , BO is median

So median divide the triangle into 2 equal triangles of equal area.

So all the 4 smaller triangles are equal in area.

When you see pair of opposite triangles

They are congruent so the called it as 4 congruent triangles.
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