**GEO 20-21 Part 2 Final** To identify the most efficient model for a windmill, Gandalf Engineering Company designs the windmill shown. The design consists of four right triangles arranged equally around point O such that point O is the midpoint of \(BF\) and \(DH\). Illustration: There is an image of a windmill design with four right triangles. The four triangles are colored differently (orange, purple, blue, and green) and are arranged around a central point labeled O. The triangles radiate out from O, making the center point O the midpoint for the lines \(BF\) and \(DH\). - Triangle \(\triangle AOB\) (colored orange) with points \(A, B,\) and \(O\) - Triangle \(\triangle COE\) (colored purple) with points \(C, O,\) and \(E\) - Triangle \(\triangle DOG\) (colored blue) with points \(D, O,\) and \(G\) - Triangle \(\triangle FOH\) (colored green) with points \(F, O,\) and \(H\) **Task:** Use deductive reasoning to show that \(\angle A = \angle E\). --- Below this instructional text, there is space provided for the student to input or write their answer using basic text formatting tools.

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
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**GEO 20-21 Part 2 Final**

To identify the most efficient model for a windmill, Gandalf Engineering Company designs the windmill shown. The design consists of four right triangles arranged equally around point O such that point O is the midpoint of \(BF\) and \(DH\).

Illustration:
There is an image of a windmill design with four right triangles. The four triangles are colored differently (orange, purple, blue, and green) and are arranged around a central point labeled O. The triangles radiate out from O, making the center point O the midpoint for the lines \(BF\) and \(DH\).

- Triangle \(\triangle AOB\) (colored orange) with points \(A, B,\) and \(O\)
- Triangle \(\triangle COE\) (colored purple) with points \(C, O,\) and \(E\)
- Triangle \(\triangle DOG\) (colored blue) with points \(D, O,\) and \(G\)
- Triangle \(\triangle FOH\) (colored green) with points \(F, O,\) and \(H\)

**Task:**
Use deductive reasoning to show that \(\angle A = \angle E\).

---

Below this instructional text, there is space provided for the student to input or write their answer using basic text formatting tools.
Transcribed Image Text:**GEO 20-21 Part 2 Final** To identify the most efficient model for a windmill, Gandalf Engineering Company designs the windmill shown. The design consists of four right triangles arranged equally around point O such that point O is the midpoint of \(BF\) and \(DH\). Illustration: There is an image of a windmill design with four right triangles. The four triangles are colored differently (orange, purple, blue, and green) and are arranged around a central point labeled O. The triangles radiate out from O, making the center point O the midpoint for the lines \(BF\) and \(DH\). - Triangle \(\triangle AOB\) (colored orange) with points \(A, B,\) and \(O\) - Triangle \(\triangle COE\) (colored purple) with points \(C, O,\) and \(E\) - Triangle \(\triangle DOG\) (colored blue) with points \(D, O,\) and \(G\) - Triangle \(\triangle FOH\) (colored green) with points \(F, O,\) and \(H\) **Task:** Use deductive reasoning to show that \(\angle A = \angle E\). --- Below this instructional text, there is space provided for the student to input or write their answer using basic text formatting tools.
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