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

Show that the diagonals of a rhombus divide it into four congruent triangles.

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

Prove that each diagonal of a parallelogram divides it into two congruent triangles.

You have studied in Class IX, (Chapter 9, Example 3), that a median of a triangle divides it into two triangles of equal areas. Verify this result for Delta ABC whose vertices are A(4,-6), B(3,-2) and C(5,2)

If A(4,-6), B(3,-2) and C(5,2) are the vertices of Delta ABC , then verify the fact that a median of Delta ABC divides it into two triangles of equal areas.

Area of a parallelogram =_____

Show that the bisectors of angles of a parallelogram form a rectangle.

Prove that the sum of the squares of the diagonals of a parallelogram is equal to the sum of the squares of its sides.

If the diagonals of a parallelogram are equals then show that it is a rectangle.

Show that the diagonals of a square are equal and right bisectors of each other.