Question

to construct the perpendicular bisector of a given line segment​

Answer 1

Answer:

Given a line segment AB

open the compass more than half of the distance between A and B, and scribe arcs of the same radius centered at A and B.

Call the two points where these two arcs meet C and D. Draw the line between C and D.

CD is the perpendicular bisector of the line segment AB. Call the point where CD intersects AB E.

Answer 2

Answer:

The perpendicular bisector of a line segment is the line which is perpendicular to a given line segment and which divides it into two equal line segments. How to construct the perpendicular bisector of a line segment (by using just a straightedge and compass, without a triangle)?

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