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Circumcircle

Grade:
9-12
Standards:
Geometry
Math Content:
Geometry

This applet allows for the construction and exploration of a circumcircle.
This interactive is optimized for your desktop and tablet. 

 
About WSP
Release: 2015Q2, Semantic Version: 4.2.0, Build Number: 911.6-r, Build Stamp: dn.kcptech.com/20150706050244

How to Use

  • Use the red points to adjust the distances between the three points.

Buttons

The buttons are meant to be used sequentially.

  • Steps- By clicking on these buttons, you will reveal the next step in the construction.
  • Show Measurements- will reveal the distance of each point to the circumcenter.
  • At any time, you can press the Reset button to start over. 

Before using any of the buttons, explore the following:

This interactive shows the location of three cities in relation to one another. Where should a major hospital be built so that it is equidistant to each city?

At any time, answer the following questions:

  • When does the circumcenter lie outside of the triangle?
  • Why are only two perpendicular bisectors needed to find the circumcenter?
  • Why does this construction work? Create a formal proof.