A diagonal of a parallelogram divides it into two triangles of equal area.

Show that the diagonals of a parallelogram divide it into four triangles of equal area.

Show that the diagonals of a parallelogram divide it into four triangles of equal area.

Show that the diagonals of a parallelogram divide it into four triangles of equal area.

Show that the diagonals of a parallelogram divide it into four triangles of equal area. GIVEN : A parallelogram A B C D . The diagonals A C and B D intersect at Odot TO PROVE : a r( O A B)=a r( O B C)=a r( O C D)=a r( A O D)

Asserion (A) : The diagonals of a ||gm divide it into four triangle of equal area. Reason (R ) : A diagonal of a ||gm divides it into two triangle of equal area.

A diagonal of a parallelogram divides it into two congruent triangles.

A diagonal of parallelogram divides it into two congruent triangles.

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

Theorem 8.1 : A diagonal of a parallelogram divides it into two congruent triangles.