given: MPQS is a rhombus. G,H,I and K are midpoints. Prove: GHIK is a rectangle. tnx...?

Answer 1

Draw the diagonals of the rhombus. They bisect each other at right angles.
Now by converse of the basic proportionality theorem,
The line joining the midpoints of the two adjacent sides will be parallel to the diagonal and half of it. Similarly for the three other lines.
Thus the figure has pairs of parallel sides. In addition, Since the diagonal are perpendicular and the pairs of lines are parallel to the diagonals, they too will be perpendicular to each other, making it a rectangle.

Answer 2

The easiest way to answer this question is to draw a rhombus MPQS and place G,H,I and K in their proper positions (in the middle of each line eg. in the middle of line MP put point G, etc) then connect the four points (G,H,I and K), and you have a rectangle.

Answer 3

yolo