Euclid: The Game Level 14 — Constructing a Circle in GeoGebra

Euclid: The Game Level 14 — Constructing a Circle in GeoGebra
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2020-09-15 01:24
In collections Euclid: The Game
This example demonstrates how to complete Euclid: The Game (Level 14) by constructing a circle from given geometric information, highlighting the practical “build a figure from points/constraints” approach. The main mathematical ideas are the definition of a circle (center and radius), the relationship between points and a circle, and the concept of geometric construction with dependency among objects. From the construction summary, the key GeoGebra step is using the command Circle with objects A, B, and the parameter/measure c to determine the radius and then generate the circle. It is suitable for middle to high school geometry practice, GeoGebra-based construction exercises, and learners who want to strengthen skills in geometric modeling and object dependencies.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c

AI Drawing Prompt Reference

Draw a circle with a center at the midpoint between two points and a radius equal to the distance between them. Connect the two points with a line segment and label the center, radius, and the circle itself.
The prompt above was compiled from the original drawing commands and is for reference only.