Perpendicular Bisector

Perpendicular Bisector
Level Information
Instruction:	Construct the perpendicular bisector of the segment.
Goal:	3L 3E
Available Tools:
Location Information
Pack:	Alpha
Previous Level:	Angle of 60°
Next Level:	Midpoint

Solutions

3L 3E Solution

Given the segment AB.

1. Construct the circle C1 with center A and radius AB
2. Construct the circle C2 with center B and radius AB, intersecting circle C1 at C and D
3. Construct line CD

Explanation

Any point of a perpendicular bisector is equidistant to both A and B. The two circles ensure that AC=BC and AD=BD and so both C and D are on the perpendicular bisector of segment AB.

List of Levels

Alpha Angle of 60° • Perpendicular Bisector • Midpoint • Circle in Square • Rhombus in Rectangle • Circle Center • Inscribed Square Beta W.I.P. Gamma W.I.P. Delta W.I.P. Epsilon W.I.P. Zeta W.I.P. Eta W.I.P. Theta W.I.P. Iota W.I.P. Kappa W.I.P. Lamda W.I.P. Mu W.I.P. Nu W.I.P. Xi W.I.P. Omicron W.I.P. Tutorials Equalateral Triangle • Intersect Tool • Perpendicular Bisector • Move Tool • Angle Bisector • Perpendicular • Parallel Line • Compass