Constructing Line Segments and Circles
Learning to construct line segments and circles using a ruler and compass.
Core concept
To copy a line segment's exact length using a compass (without measuring with a ruler again), place the compass point on one end of the original segment and open it to the other end, then transfer this exact width to construct a new segment of identical length elsewhere. This compass-based technique ensures precision that might be lost with repeated ruler measurements, and is a fundamental geometric construction skill used throughout more advanced geometry.
Exam highlight
Key diagram

- Show step-by-step construction of a line segment and a circle using ruler and compass.
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Quick notes
• A line segment is constructed using a ruler for a specified length.
• A circle of given radius is drawn by setting the compass width to that radius.
• A compass can copy an exact segment length without re-measuring with a ruler.
• Precise geometric construction is a foundational skill for advanced geometry.