Question

if you were to prove that quadrilateral abcd is a parallelogram, what would need to be true about eb and ed? (1 point)
○ $overline{eb}$ must be the same length as $overline{ed}$.
○ $overline{ed}$ must be a different length than $overline{eb}$.
○ $overline{eb}$ must be half of the length of $overline{ed}$.
○ $overline{ed}$ must be half of the length of $overline{eb}$.

Explanation:

One of the properties of a parallelogram is that its diagonals bisect each other. In parallelogram \(ABCD\) with diagonals \(AC\) and \(BD\) intersecting at \(E\), this means \(EB = ED\).

Answer:

\(\overline{EB}\) must be the same length as \(\overline{ED}\).