How to generate the segment bisector such that a line c-d forms the segment bisector.
Geometry:
Given the line A-B. Take a compass and take an arbitrary length > (A-B / 2)
Place the compass point on A, mark an arc above and below the line A-B. Repeat the same with compass placed on point B.
you will notice that the arcs intersect below and above. Joint the two arcs with a dotted line, the intersection of the dotted line with the segment A-B is the midpoint and the dotted line is one of the segment bisectors. Any line joining this midpoint to any external point is the Segment Bisector.
The process can be done regardless of the segment A - B being a straight line or a Sector.
If you have two lines forming an angle and want to find the angular bisector. Given A-B-C, where B is the vertex. repeat the same process, but first take the compass and with distance < A-B and <B-C, mark intersections in A-B and A-C, as A' and B',
Now repeat the steps done for segment bisector with point A' and B'.
If your question pertains to theoretical or co-ordinate Geometry.
for line segment A-B, Let the point C = mid point of A and B, Any lien other than A-B joining or possing through this mid point is segment bisector.
Answers & Comments
Verified answer
hi I guess your question is:
Given: a Line A-B and a point c,
Let d = midpoint of A-B
How to generate the segment bisector such that a line c-d forms the segment bisector.
Geometry:
Given the line A-B. Take a compass and take an arbitrary length > (A-B / 2)
Place the compass point on A, mark an arc above and below the line A-B. Repeat the same with compass placed on point B.
you will notice that the arcs intersect below and above. Joint the two arcs with a dotted line, the intersection of the dotted line with the segment A-B is the midpoint and the dotted line is one of the segment bisectors. Any line joining this midpoint to any external point is the Segment Bisector.
The process can be done regardless of the segment A - B being a straight line or a Sector.
If you have two lines forming an angle and want to find the angular bisector. Given A-B-C, where B is the vertex. repeat the same process, but first take the compass and with distance < A-B and <B-C, mark intersections in A-B and A-C, as A' and B',
Now repeat the steps done for segment bisector with point A' and B'.
If your question pertains to theoretical or co-ordinate Geometry.
for line segment A-B, Let the point C = mid point of A and B, Any lien other than A-B joining or possing through this mid point is segment bisector.