Maths- Areas of Parallelograms and Triangles

If Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at O. Then,

If a triangle and a parallelogram are on the same base and between same parallels, then the ratio of the area of the triangle to the area of parallelogram will be:

In a triangle ABC, E is the mid-point of median AD. Then:

If P and Q are any two points lying on the sides DC and AD respectively of a parallelogram ABCD, then:

If ABCD and EFGH are two parallelograms between same parallel lines and on the same base, then:

A median of a triangle divides it into two

If E, F, G and H are the mid-points of the sides of a parallelogram ABCD, respectively, then ar (EFGH) is equal to: