A ||gm and a rectangle on the same base and between the same parallels are equal in area

Triangles on the same base and between the same parallel are equal in area.

Look at the statement given below: I. A parellelogram and a rectangle on the same base and between the same parallels are equal in area. II. In a ||gm ABCD, it is given that AB = 10 cm. The altitudes DE and AB and BF on AD being 6 cm and 8 cm respectively, then AD = 7.5 cm. III. Area of a ||gm =(1)/(2)xx "base" xx "altitude." Which is true?

Figures on the same base and between the same parallels

Parallelograms on the same base and between the same parallel are equal in area.

Theorem 9.1 : Parallelograms on the same base and between the same parallels are equal in area.

Assertion (A) : In a trapezium ABCD, we have AB ||DC and the diagonals AC and BD intersect at O. Then, ar(triangleAOD)= ar(triangleBOC) . Reason (R ) : Triangle on the same base between the same parallels are equal in area.

Using vectors, prove that the parallelogram on the same base and between the same parallels are equal in area.

Prove by vector method that the parallelogram on the same base and between the same parallels are equal in area.

Parallelograms on the same base and between the same parallels are equal in area. GIVEN : Two parallelograms A B C D and A B E F , which have the same base A B and which are between the same parallel lines A B and F Cdot TO PROVE : a r(^(gm)A B C D)=a r(^(gm)A B E F)

Prove that parallelograms on the same base and between the same parallels have the same area.