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In the GeoGebra activity, a circle passing through points C, D and G was automatically constructed for you. How could you construct a circle passing through the three points?

Question

In the GeoGebra activity, a circle passing through points C, D and G was automatically constructed for you. How could you construct a circle passing through the three points?

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Solution

To construct a circle passing through three points in GeoGebra, follow these steps:

  1. Open GeoGebra and select the "Geometry" tool from the toolbar.

  2. Click on the "Point" tool and create three points on the workspace. These will be your points C, D, and G.

  3. Now, select the "Circle through Three Points" tool from the toolbar. This tool is located under the "Circle" tool. If you can't see it, click on the small arrow next to the "Circle" tool to expand the options.

  4. Click on your three points in the order you want them to be connected. The circle will be automatically constructed to pass through these points.

Remember, the points must not be in a straight line for the circle to be constructed. If they are, GeoGebra will not be able to construct the circle as it would have an infinite radius.

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