Perpendicular & Circumcenter

Applet contains a triangle with [color=#c51414]perpendicular bisectors[/color] drawn. Its purpose is to have students discover that the [color=#c51414]circumcenter[/color] of a triangle is the ONLY POINT that is equidistant from the triangle's 3 vertices (and consequently, the center of the only circle one can circumscribe about the triangle.) The applet also leads students to discover that the [color=#c51414]circumcenter[/color] of a triangle lies INSIDE the triangle IFF the triangle is acute, ON the triangle IFF the triangle is right (at the midpoint of its hypotenuse), and OUTSIDE the triangle if the triangle is obtuse.

 

Raphael Chan

 
Tip material
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Etichete
bisector  ccss  ccss.hsg.c.a.3  ccss.hsg.co.c.10  ccss.hsg.co.d.12  circumcenter  circumcircle  common  common-core  core  exploration perpendicular triangle Arată mai multe…
Grup Ţintă (Vârstă)
11 – 14
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English
 
 
 
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