Here you will learn to create formal geometric constructions by hand and with dynamic geometry software. You will learn to both copy and bisect segments and angles. You will use your knowledge of angles to construct parallel and perpendicular lines. You will use these basic constructions together with your knowledge of the properties of regular polygons to construct regular polygons.

## Chapter Outline

- 5.1. Copies of Line Segments and Angles
- 5.2. Bisectors of Line Segments and Angles
- 5.3. Parallel and Perpendicular Line Constructions
- 5.4. Constructions of Regular Polygons
- 5.5. Geometry Software for Constructions

### Chapter Summary

You learned that a drawing is a rough sketch while a construction is a step-by-step process for creating an accurate geometric figure. A compass and straightedge or folded paper can help when performing constructions by hand.

You mastered copying and bisecting line segments and angles. You used your knowledge of corresponding angles to copy an angle in order to create parallel lines. You learned how to construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle by hand.

Finally, you learned how to use dynamic geometry software such as *Geogebra* to create a specific polygon using the properties of that polygon.

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## Date Created:

Aug 27, 2013## Last Modified:

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