Question

Angle CED is a right angle, AB congruent to CD, DB bisects AC at E Prove: Quadrilateral ABCD is a Rhombus

Answer 1

Properties of Rhombus:
1) A flat shape with 4 equal straight sides. It looks like a kite or a diamond.
2) all sides have equal length
3) opposite sides are parallel and opposite angles are equal
4) the diagonals bisect each other at a right angle.
5) the altitude is the distance at right angles to two sides

∠CED is a right angle : GIVEN
AB congruent to CD : all sides have equal length
DB bisects AC at E : diagonals bisect each other at a right angle.