Show that the figure formed by joining the midpoints of sides of a rhombus successively is a rectangle.

Find the area of a figure formed by joining the mid-points of the adjacent sides of a rhombus with diagonals 12 cm. and 16 cm.

Show that the line segments joining the midpoints of the opposite sides of a quadrilateral and bisect each other.

Prove that the line segments joining the midpoints of the adjacent sides of a quadrilateral form a parallelogram.

Prove that line segment joining the midpoints of two sides of a triangle is parallel to the third side whose length is half of the length of the third side.

Prove that a line joining the midpoints of any two sides of a triangle is parallel to the third side. (Using converse of basic proportionality theorem)

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

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

The line segment joining the mid-points of two sides of triangles is parallel to the third side and is equal to ____ of its length.

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