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Geometry: Finding the Circumcenter

The document is notes from a geometry lesson about finding the circumcenter of a triangle. It defines a circumcircle as a circle that passes through all three vertices of a triangle. The circumcenter is the point that is equidistant from the three vertices, which can be found by constructing the perpendicular bisectors of the sides of the triangle and finding their point of concurrency. Examples are given of constructing circumcircles for both acute and obtuse triangles.

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182 views7 pages

Geometry: Finding the Circumcenter

The document is notes from a geometry lesson about finding the circumcenter of a triangle. It defines a circumcircle as a circle that passes through all three vertices of a triangle. The circumcenter is the point that is equidistant from the three vertices, which can be found by constructing the perpendicular bisectors of the sides of the triangle and finding their point of concurrency. Examples are given of constructing circumcircles for both acute and obtuse triangles.

Uploaded by

api-332361871
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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8.1Circumcenter.

notebook December05,2017

Notes:8.1PerpendicularBisectorofTriangles.
Supplies:Ruler,ColoredPencil,ConsumableTextbook

LearningGoal:SWBATuseperpendicularbisectorstofindthepoint
thatisequidistantfromalloftheverticesofatriangle.
Example1:ConstructingaCircumscribed
Circle.
Acircumscribedcircleiswhereapolygonis
insidethecircleandalloftheverticesofthe
polygonlieonthecircle.

B
Thetriangleisinscribedinthe
C circle.
A D
Nameacirclebyitscenter.

Ciscalledthecircumcircle
Thecenterofthecircleiscalledthe
circumcenter.
Dec59:13AM

Thesetwostatementsmeanthesamething.
Createatriangleinscribedinacircle.or
Createacirclethatcircumscribesatriangle.

Threeormorelinesareconcurrentifthey
intersectatonepoint
ThepointofintersectioniscalledthePointof
concurrency

Dec59:34AM

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8.1Circumcenter.notebook December05,2017

AcuteTriangleinscribedinacircle

Theperpendicularbisectorsofthesidesofa
triangleintersectatapointthatisequidistant
fromtheverticesofthetriangle.

Dec59:23AM

Pages361368

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8.1Circumcenter.notebook December05,2017

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