3.2 Constructing Perpendicular Bisector.notebook
October 18, 2016
3.2 Constructing Perpendicular Bisectors
Oct 18­10:03 AM
Segment Bisector: a line, ray or segment that passes through the midpoint of a segment
Perpendicular Bisector: a segment bisector that is also perpendicular to the segment
Oct 20­7:24 AM
Constructing a Perpendicular Bisector:
1. Draw a segment
2. Set your compass more than half the distance between each endpoint and make an arc above and below the line
3. Without changing your compass move to the other endpoint and make an arc above and below the line
Oct 20­7:25 AM
Oct 20­7:27 AM
Perpendicular Bisector Conjecture:
If a point is on the perpendicular bisector of a segment, then it is _______________
from the endpoints.
0°
0
http://www.mathsisfun.com/geometry/construct­linebisect.html
Converse of the Perpendicular Bisector Conjecture:
If a point is equidistant from the endpoints of a segment, then it is on the _____________
of the segment.
Oct 20­7:30 AM
Oct 20­7:30 AM
1
3.2 Constructing Perpendicular Bisector.notebook
October 18, 2016
Median: segment connecting the vertex of a triangle to the midpoint of its opposite side
Midsegment: segment that connects the midpoints of two sides of a triangle
Oct 20­7:33 AM
2