SOLUTION: if a rhombus is inscribed in a circle, does that mean the diagonals would be congruent?

Algebra ->  Parallelograms -> SOLUTION: if a rhombus is inscribed in a circle, does that mean the diagonals would be congruent?      Log On


   

Question 38097: if a rhombus is inscribed in a circle, does that mean the diagonals would be congruent?
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Yes. Because the opposite angles would have to be equal to 90 degrees. Since you are given it is a rhombus, and not merely an arbitrary rectangle, it would have to be a square. Of course both squares and rectangles have congruent diagonals.