Question

Prove that the quadrilateral formed by connecting the midpoints of the sides of a rhombus is a rectangle.

Answer 1

I would help more intuitively but the draw feature is broken for me. Why, OpenStudy, why?

Answer 2

It's broken for everyone, sadly. Do you think you can tell me how I can prove that each angle is 90 degrees?

Answer 3

Start with the facts that adjacent angles are supplementary and the diagonals are congruent.

Answer 4

Thanks for the help. I ended up using the fact that adjacent angles are supplementary but I didn't talk much about diagonals. Still, thank you a lot :)