MEDIUM
9th Manipur Board
IMPORTANT
Earn 100

Prove that the line segment joining the midpoints of a pair of opposite sides of a parallelogram divides it into two parallelograms of equal area.

Important Questions on Area

MEDIUM
9th Manipur Board
IMPORTANT
Prove that three parallelograms formed by joining the midpoints of the three sides of a triangle are equal in area.
MEDIUM
9th Manipur Board
IMPORTANT
Prove that, of all the parallelogram of given sides, parallelogram which is a rectangle has the greatest area.
MEDIUM
9th Manipur Board
IMPORTANT
If O is an interior point of a parallelogram ABCD, prove that area of AOB+ area of OCD=12area of parallelogram ABCD.
MEDIUM
9th Manipur Board
IMPORTANT
If O is an interior point of a parallelogram ABCD, prove that area of AOB+ area of OCD=area of OAB+area of OCD
MEDIUM
9th Manipur Board
IMPORTANT
ABCD is a parallelogram and P is any point on the side CD. Prove that area of APD+area of BCP=area of ABP.
MEDIUM
9th Manipur Board
IMPORTANT
ABCD and ABPQ are parallelogram such that the points C, D, P, Q are collinear and R is any point on the side BP. Show that area of parallelogram ABCD=area of parallelogram ABPQ.
MEDIUM
9th Manipur Board
IMPORTANT
ABCD and ABPQ are parallelogram such that the points C, D, P, Q are collinear and R is any point on the side BP. Show that area of ARQ=12area of parallelogram ABCD.
MEDIUM
9th Manipur Board
IMPORTANT

AD is a median of a triangle ABC and P is any point on AD. Show that area of ABP=area of ACP