Drop a Perpendicular to a Line from a Point
Geometric Construction with the Compass Alone
A segment AB is given by its end points A and B. Find a point C such that AC is perpendicular to AB.
Before attempting this problem you should look into the first one.
With an arbitrary radius R ≥ AB draw two circles with centers at A and B. Let O be one of the points of intersection. With the center O and the same radius R draw a circle and then use the first problem to find the point C opposite the point B on this circle. Then AC is perpendicular 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