Figures on Same Base and between the Same Parallels

What divides a triangle into two triangles having equal area?

Show that a median of a triangle divides it into two triangles of equal area.

State that the two triangles having equal areas and equal base (or same bases) have what else as equal.

Prove the given statement:

Two triangles having equal areas and equal base (or same bases) lie between the same parallels.

Calculate the ratio of the areas of two triangles which are on the same base and between the same parallels.

Prove the given below theorem :

Triangles on the same base and between the same parallels are having equal area.

Calculate the ratio of the areas of two parallelograms which are located on the same base and between the same parallels.

What is the condition for parallelogram on the same base have equal area.

In the above figure,$ar\left(DRC\right)=ar\left(DPC\right)$ and $ar\left(BDP\right)=ar\left(ARC\right)$. Show that both the quadrilaterals $ABCD$ and $DCPR$ are trapeziums.

In the above figure, $ABCDE$ is a pentagon. A line through $B$ parallel to $AC$ meets $DC$ produced at $F$. Show that $ar\left(AEDF\right)=ar\left(ABCDE\right)$.

In the above figure, $ABCD$ and $EFCD$ are rectangles. Also, $AL$ is perpendicular to $DC$. Prove that $ar\left(ABCD\right)=DC\times AL$.

Prove that two triangles having the same base and equal areas lie between the same parallels.

The ratio of the areas of two parallelograms on the same base and between the same parallels is

Point $M$ and $N$ are the midpoints of sides $PA$ and $PB$ of $△PAB$. As $P$ moves along a line that is parallel to side $AB$, which one of the four quantities listed below will change?

From a point within a triangle, segments are drawn to the vertices. A necessary and sufficient condition that the three triangles formed have equal areas, is that the point be:

Given that the lines $l$ and $m$ are parallel. Which of the three triangles has the greatest area?