In quadrilateral ABDC, AB ∥ CD. Which additional piece of information is needed to determine that ABDC is a parallelogram?

A) AB ≅ CD
B) AC ≅ BD
C) AB ⊥ BD
D) CD ⊥ BD

In quadrilateral ABDC AB CD Which additional piece of information is needed to determine that ABDC is a parallelogram A AB CD B AC BD C AB BD D CD BD class=

Respuesta :

Since the definition of a parallelogram literally says that it's a quadrilateral with 2 parallel sides, we have AB || CD so the 2 other sides (AC and BD) need to be either similar or parallel (either works, due to that if they're similar we can prove that since AB || CD that they're parallel). B is our answer
AC would have to be equivalent to BD