Perpendicular Bisector

POINT
A perpendicular bisector crosses a segment at its midpoint at 90°.
Every point on the perpendicular bisector is equidistant from the two endpoints.
Example
Construct the perpendicular bisector of segment AB.
Then, using the perpendicular bisector, construct point P on line ℓ that is equidistant from points A and B.
①
AB
②
ABℓ

Practice

Try the two constructions yourself.

01
Construct the perpendicular bisector of segment AB.
AB

Please refer to the video above for the construction. If you have any questions, ask in the video comments.

02
Using the perpendicular bisector, construct point P on line ℓ so that PA = PB.
ABℓ

Please refer to the video above for the construction. If you have any questions, ask in the video comments.

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