Quadrilateral ABCD shown at the right is a rhombus. Given that AC=10 and BD=16, find all side lengths and angle measures. Explain your reasoning.
A) AD=BC=AB=CD=8, Angle A=Angle B=Angle C=Angle D=90 degrees
B) AD=BC=AB=CD=10, Angle A=Angle B=Angle C=Angle D=90 degrees
C) AD=BC=AB=CD=6, Angle A=Angle B=Angle C=Angle D=90 degrees
D) AD=BC=AB=CD=4, Angle A=Angle B=Angle C=Angle D=90 degrees