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Q: Did the ancient greek require a straightedge and protractor to construct a perpendicular bisector for a given line segment?

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false apex The Greeks used a straightedge and a compass

False

Not always because a perpendicular bisector can be constructed with compasses

Ture

yes

Yes it is.

Yes

True

Not true.

FALSE

Use a protractor.

A compass and a straightedge

it would be perpendicular to the line.

A compass and a straight edge

There are two ways to construct a segment. One way is drawing the perpendicular bisector, the second is with a ruler.

Equilateral triangles

on the perpendicular bisector

is parallel-apex

Yes, but you will also need a pen or pencil. Also, if the line segment is very long (eg 5 metres) you may have difficulty in finding a compass that will do the trick!

Biconditional Statement for: Perpendicular Bisector Theorem: A point is equidistant if and only if the point is on the perpendicular bisector of a segment. Converse of the Perpendicular Bisector Theorem: A point is on the perpendicular bisector of the segment if and only if the point is equidistant from the endpoints of a segment.

An angle bisector bisects an angle. A perpendicular bisector bisects a side.

Converse of the Perpendicular Bisector Theorem - if a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment.Example: If DA = DB, then point D lies on the perpendicular bisector of line segment AB.you :))

True

Similarities between angle bisector and perpendicular bisector: Perpendicular bisector bisects a line segment into two equal parts at 90°. Angle bisector bisects an creating two congruent angles they both bisect into equal parts! =)

The Perpendicular bisector concurrency conjecture is the circumcenter

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