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

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

Prove that two triangles on the same base and between the same parallels are equal in area.

Triangles on the same base and between the same parallels are equal in area. GIVEN : Two triangles A B C and P B C on the same base B C and between the same parallel lines B C and A Pdot TO PROVE : a r( A B C)=a r( P B C) CONSTRUCTION : Through B , draw B D C A intersecting P A produced in D and through C , draw C Q B P , intersecting line A P in Q.

A |gm and a rectangle 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.

Figures on the same base and between the same parallels

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

Prove that Parallelograms on the same base and between the same parallels are equal in area.

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