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
Mathematics for Class 9>Chapter 9 - Area>EXERCISE 9.1>Q 5
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
Mathematics for Class 9>Chapter 9 - Area>EXERCISE 9.1>Q 6
Prove that, of all the parallelogram of given sides, parallelogram which is a rectangle has the greatest area.
MEDIUM
9th Manipur Board
IMPORTANT
Mathematics for Class 9>Chapter 9 - Area>EXERCISE 9.1>Q 7
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
Mathematics for Class 9>Chapter 9 - Area>EXERCISE 9.1>Q 7
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
Mathematics for Class 9>Chapter 9 - Area>EXERCISE 9.1>Q 8
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
Mathematics for Class 9>Chapter 9 - Area>EXERCISE 9.1>Q 9
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
Mathematics for Class 9>Chapter 9 - Area>EXERCISE 9.1>Q 9
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
Mathematics for Class 9>Chapter 9 - Area>EXERCISE 9.2>Q 1

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