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5. Let ABCD be a parallelogram. Prove: Diagonals AC and BD bisect each other.

5. Let ABCD be a parallelogram. Prove: Diagonals AC and BD bisect each other.

Elementary Geometry For College Students, 7e
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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Certainly! Below is a transcription of the text appropriate for an educational website: --- **Geometry Concepts: Parallelograms and Rectangles** 5. **Let \( \square ABCD \) be a parallelogram. Prove:** Diagonals \( AC \) and \( BD \) bisect each other. 6. **Let \( \square ABCD \) be a parallelogram. Prove:** \( \square ABCD \) is a rectangle if and only if \( AC = BD \). --- Note: This transcription provides the statements of two geometry theorems involving properties of parallelograms and rectangles. Understanding these concepts is crucial in mathematical proofs and geometry studies.
Transcribed Image Text:Certainly! Below is a transcription of the text appropriate for an educational website: --- **Geometry Concepts: Parallelograms and Rectangles** 5. **Let \( \square ABCD \) be a parallelogram. Prove:** Diagonals \( AC \) and \( BD \) bisect each other. 6. **Let \( \square ABCD \) be a parallelogram. Prove:** \( \square ABCD \) is a rectangle if and only if \( AC = BD \). --- Note: This transcription provides the statements of two geometry theorems involving properties of parallelograms and rectangles. Understanding these concepts is crucial in mathematical proofs and geometry studies.
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