# Reflect a Point in a Line Sgement

### Geometric Construction with the Compass Alone

A segment AB is given by its end points A and B. A point C is known to lie outside the straight line AB. Construct a point D symmetric to C with respect to AB.

## Solution

Draw two arcs through the point C. One with the center at A, another centered at B. The second point of intersection of these two arcs will be symmetric to C with respect to AB.

### Problems (Use a compass only)

- Multiply a Line Segment by a Whole Number
- Reflect a Point in a Line Sgement
- Cross a Circle by a Line Segment
- Drop a Perpendicular to a Line from a Point
- Detect Collinearity
- Complete a Parallelogram
- Bisect an Arc
- Find the Points of Intersection of a Circle with a Line Segment
- Build a Square on a Given Side
- Find the Fourth Proportional of Three Lengths
- Find the Intersection of Two Straight Lines
- Divide a Line Segment into a Whole Number of Parts
- Find the Center of a Given Circle
- Bisect a given line
- Mascheroni Construction of a Regular Pentagon
- A Compass Only Construction - A Chord Tangent to an Inner circle

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