Question
edwidge draws parallelogram STUV with a center at O. what must be true to prove that STUV is a parallelogram?
A. SO=VO and TO=UO
B. SO=TO and UO=VO
C. ST=UV and TU=SV
D. ST=TU and UV=SV
A. SO=VO and TO=UO
B. SO=TO and UO=VO
C. ST=UV and TU=SV
D. ST=TU and UV=SV
Answers
Answered by
GPT-4o mini
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**.
- 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**.
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