Can someone put this in English for me? (Geometry Theorem) Thanks!?

Question

the theorem in my book is: If two points are each equidistant from the end points of a segment (I got this part), then the two points determine the perpendicular bisector of that segment (I am confused on the part after the comma). THANKS SOOO MUCH!!!

Answer 1

This means that the line that passes through the two points is the perpendicular bisector of the segment.

Edit: to answer the question in the e-mail you sent -- the segment at the beginning of the question. In symbols: if AB is a segment, and C is equidistant from A and B, and D is also equidistant from A and B, then the line passing through C and D is the perpendicular bisector of AB.

Answer 2

okay here we go.

Two points equidistant (same distance away from the end points) then the two points determine the perpendicular bisector (basically where a line would cut through the segment right in the middle at a 90 degree angle)

For example:


0------------|------------0 That l line is the perpendicular bisector. :) note that it's in the exact middle. Thats because the two points that make up that line are exactly the same distance from 0 on either side :)

Answer 3

Just imagine a line segment. Now imagine two points, one on one side of the segment, one on the other. It is saying that if those two points are equally distant from the endpoints of the line segment then a line drawn through those two points will be the perpendicular bisector of the line segment.

Answer 4

that means that the perpendicular bisector(the segments/line which divides the other segment into two equal parts) of that segment passes through this two points.

in simple terms, if points a and b determine line c, then line c passes through the points a and b.

Answer 5

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Answer 6

i think this is talking about the midpoint of that segment. by finding the midpoint
(formula: http://www.purplemath.com/modules/midpoint.htm) of the segment you can determine the perpendicular slope that bisect that line through other algebraic means. For example, use point slope formula or something.

Answer 7

the perpendicular bis.
is the line perpericular
and is right in the middle
of the segment

after that im also
cofused

is there a
new formula