Thread: Quadrilateral, Intersecting Diagonals

The diagonals

AC and BD of quadrilateral ABCD intersect at O. Given the information AO = BO and CO = DO, what can you deduce about the lengths of the sides of the quadrilateral? Prove your response.

I have deduced and proved that one pair of opposite sides is congruent and the other pair of opposite sides is parallel. Is there anything else that can be deduced/proved?

Originally Posted by thamathkid1729

The diagonals

AC and BD of quadrilateral ABCD intersect at O. Given the information AO = BO and CO = DO, what can you deduce about the lengths of the sides of the quadrilateral? Prove your response.

I have deduced and proved that one pair of opposite sides is congruent and the other pair of opposite sides is parallel. Is there anything else that can be deduced/proved?

the quadrilateral is an isosceles trapezoid ...

It could also be a rectangle


bjh