This is a geometry question. ### Problem 16:**Given:** Parallelogram $ \square ABCD $; points $ W, X, Y, Z $ are midpoints of $ \overline{AO}, \overline{BO}, \overline{CO}, $ and $ \overline{DO} $.**To Prove:** $ WXYZ $ is a parallelogram.**Diagram Explanation:**The image displays parallelogram $ ABCD $ with diagonal $ \overline{AC} $ and $ \overline{BD} $ intersecting at point $ O $. Points $ W, X, Y, $ and $ Z $ are marked on $ \overline{AO}, \overline{BO}, \overline{CO}, $ and $ \overline{DO} $ respectively, indicating they are the midpoints of these segments. A quadrilateral $ WXYZ $ is formed by connecting these midpoint vertices.

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Answered: 16. Given: OABCD; W. X, Y, Z are mid-…

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16. Given: OABCD; W. X, Y, Z are mid- points of AO. BO. CO. and DO. Prove: WXYZ is a D. C. Y Z.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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This is a geometry question.

### Problem 16:

**Given:** Parallelogram $ \square ABCD $; points $ W, X, Y, Z $ are midpoints of $ \overline{AO}, \overline{BO}, \overline{CO}, $ and $ \overline{DO} $.

**To Prove:** $ WXYZ $ is a parallelogram.

**Diagram Explanation:**
The image displays parallelogram $ ABCD $ with diagonal $ \overline{AC} $ and $ \overline{BD} $ intersecting at point $ O $. Points $ W, X, Y, $ and $ Z $ are marked on $ \overline{AO}, \overline{BO}, \overline{CO}, $ and $ \overline{DO} $ respectively, indicating they are the midpoints of these segments. A quadrilateral $ WXYZ $ is formed by connecting these midpoint vertices.

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