Question

Prove that the line segments joining the mid-points of the four sides of a rectangle form a rhombus.

Answer 1

Draw a rectangle. put a mark at the middle of each of its sides.
connect the dots.

now list some facts about a rectangle:
its opposite sides are congruent
its 4 angles are right angles.
and
the mid-point divides a line segment into 2 equal parts



use pythagoras so show all the "connecting" lines are equal.
The definition of a rhombus is : a figure with 4 equal sides.