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GeoGebraTarefa

1.8.2 Compass and Straightedge Constructions

You should be familiar now with the Geogebra tools that exist. We have learned how to create circles, use the compass tool to make circles of the same size, in other words that have the same radius, and how to use the intersections of circles to construct various things. For each figure below, use the compass and straightedge tools to make the construction. Then, explain your steps as if you were teaching it to a new student in the class. #1-3 are must-do's! #4-5 are challenge problems if you finish early.

1. Equilateral Triangle

Explain your steps:

2. Regular Hexagon

Explain your steps:

3. Perpendicular Bisector

Explain your steps:

4. Challenge: Square

Explain your steps:

5. Challenge: Square Inscribed in a Circle

Explain your steps: