Question

given: abcd is a parallelogram and \\(\overline{ab} \cong \overline{ce}\\).
prove: \\(\angle a \cong \angle e\\).

step | statement | reason
1 | abcd is a parallelogram; \\(\overline{ab} \cong \overline{ce}\\) | given
2 | \\(\overline{cd} \cong \overline{ab}\\) | select a reason...

Explanation:

Step1: Recall parallelogram property

In a parallelogram, opposite sides are congruent. For parallelogram \(ABCD\), \(AB\) and \(CD\) are opposite sides.
So the reason for \(\overline{CD} \cong \overline{AB}\) is "Opposite sides of a parallelogram are congruent".

Answer:

Opposite sides of a parallelogram are congruent