Quadrilateral Diagonals

A midpoint of one diagonal

The only constraint given is that E is the midpoint of diagonal BD. What kinds of quadrilaterals does it appear can be made with this constraint? Under what conditions?

A midpoint of one diagonal and diagonals are perpendicular

The two constraints given is that E is the midpoint of diagonal BD and the diagonals are perpendicular. What kinds of quadrilaterals does it appear can be made with these constraints? Under what conditions?

Diagonals are congruent, and divide each other in congruent segments, and diagonals are perpendicular

What kinds of quadrilaterals does it appear can be made with these constraints? Under what conditions?

Diagonals are congruent, and divide each other in congruent segments, and diagonals are perpendicular

What kinds of quadrilaterals does it appear can be made with these constraints? Under what conditions?

Each diagonal is the perpendicular bisector of the other.

What kinds of quadrilaterals does it appear can be made with these constraints? Under what conditions?

Each diagonal bisects the other.

What kinds of quadrilaterals does it appear can be made with these constraints? Under what conditions?