Question

edwidge draws parallelogram stuv with a center at o. what must be true to prove that stuv is a parallelogram? (1 point)
so≅to and uo≅vo
st≅uv and tu≅sv
so≅vo and to≅uo
st≅tu and uv≅sv

Explanation:

Step1: Recall parallelogram property

In a parallelogram, the diagonals bisect each other. If \(O\) is the center (inter - section point of diagonals) of parallelogram \(STUV\), the diagonals \(SV\) and \(TU\) are bisected at \(O\).

Step2: Analyze the bisection

This means that the segments of the diagonals are congruent, i.e., \(\overline{SO}\cong\overline{VO}\) and \(\overline{TO}\cong\overline{UO}\).

Answer:

C. \(\overline{SO}\cong\overline{VO}\) and \(\overline{TO}\cong\overline{UO}\)