Proof of Inscribed Angle Property

Because the sum of all the interior angles of a quadrilateral is 360°, central ∠=σ=ε+ζ +δ+ν But ∆OBC and ∆OCD are isosceles triangles. Therefore, ε=ζ and δ=ν Therefore, inscribed ∠=ζ+ δ=1/2 * σ = 1/2 * (central ∠)

 

Julia

 
Material Type
Activity
Tags
circle-theorems  proof 
Target Group (Age)
11 – 14
Language
English (United States)
 
 
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4.2
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