Euclidea Wiki

Instruction: Drop a perpendicular from the point to the line.

Goal: 2L 3E

Available tools:

  • Move
  • Point
  • Line
  • Circle
  • Perpendicular Bisector
  • Angle Bisector
  • Intersect

Pack: Beta

Previous level: 2.5

Next level: 2.7

2L solution[]

Let O be the point.

  1. Construct a circle with center O and an arbitrary radius so that it intersects the line at two points A and B
  2. Construct the perpendicular bisector of AB

3E solution[]

Let O be the point.

  1. Construct a circle with an arbitrary center A on the line and radius OA
  2. Construct a circle with center B at intersection of circle A and the line and radius OB, intersecting circle A at C
  3. Construct line OC


Solution 2L has you construct an arbitrary isosceles triangle ABO with O as its apex. The perpendicular bisector of its base will pass through its apex and therefore will answer the puzzle.

Solution 3E has you construct the reflection of point O through the line, making that line the perpendicular bisector of the segment joining point O to its reflection. Just trace that segment.