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# Construction and Geometry Proofs

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1. I need to see a construction and proof. Given a quadrilateral EFGH so that all four sides are congruent to a circle. Prove that EF+GH=EH+FG

2. Prove that a perpendicular bisector of a chord in a circle is a diameter.

https://brainmass.com/math/triangles/construction-geometry-proofs-90302

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1.
I need to see a construction and proof.
Given a quadrilateral EFGH so that all four sides are congruent to
a circle. Prove that EF+GH=EH+FG

For right triangles HOA and HOB, AO = BO = r,
HO is the common side in both right ...

#### Solution Summary

Construction and Geometry Proofs are provided. The solution is detailed and well presented. The response was given a rating of "5/5" by the student who originally posted the question.

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