edwidge draws parallelogram STUV with a center at O. what must be true to prove that STUV is a parallelogram?

Question

A. SO=VO and TO=UO
B. SO=TO and UO=VO
C. ST=UV and TU=SV
D. ST=TU and UV=SV

Answer 1

To prove that quadrilateral STUV is a parallelogram, the following conditions should be met:

• A parallelogram is defined as a quadrilateral with opposite sides that are equal in length.

From the choices provided, the most relevant condition that reflects the properties of a parallelogram is:

C. ST = UV and TU = SV.

This choice directly states that the opposite sides of the quadrilateral are equal, which confirms that STUV is indeed a parallelogram.

Thus, the correct answer to prove that STUV is a parallelogram is C.