what are they? where are they? how are they found?

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• What are they? • Where are they? • How are they found?

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Triangle Centers. What are they? Where are they? How are they found?. Triangle Centers Points of Concurrency. What is this all about? A Point of Concurrency is a point of intersection of 2 or more lines. The lines that form a point concurrency are called concurrent lines . - PowerPoint PPT Presentation

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Page 1: What are they? Where are they? How are they found?

• What are they?• Where are they?• How are they found?

Page 2: What are they? Where are they? How are they found?

Triangle Centers Points of Concurrency

• What is this all about?A Point of Concurrency is a point

of intersection of 2 or more lines. The lines that form a point

concurrency are called concurrent lines.

Page 3: What are they? Where are they? How are they found?

The Points are…The Points are…

• Incenter• Circumcenter• Orthocenter• Centroid

• Though there are many other points of concurrency, which we will see later, we will concentrate on these four today.

Page 4: What are they? Where are they? How are they found?

Incenter• Point of concurrency formed by the

intersection of the three bisectors of a triangle

Page 5: What are they? Where are they? How are they found?

CIRCUMCENTERCIRCUMCENTER• Point of concurrency formed by the

intersection of three perpendicular bisectors of the sides of a triangle

Page 6: What are they? Where are they? How are they found?

ORTHOCENTER• Point of concurrency formed by the

intersection of the three altitudes of a triangle

Page 7: What are they? Where are they? How are they found?

Centroid• Point of concurrency formed by the

intersection of the three medians of a triangle

Page 8: What are they? Where are they? How are they found?

Oh yeah, in case you are wondering, here are some other more recent pts. of concurrency.

• Fermat Point• Nine-Point Center• Symmedian Point• Nagel Point• Napolean Point• Schiffler Point• Exeter Point• Apollonious Point• Parry Point• And the list could go on and on and on…..

Page 9: What are they? Where are they? How are they found?

The Points are…The Points are…

• Incenter• Circumcenter • Orthocenter • Centroid

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