01+Perpendicular+Bisectors

Perpendicular Bisectors in Triangles

By: Matt Michael, Steve Rak, Dave Levine

Question: What is a perpendicular bisector?  Answer: A perpendicular bisector is the line perpendicular to a segment passing through the segment's midpoint.


 * In triangles, the point where all three perpendicular bisectors meet is called the circumcenter.

Rules: - The perpendicular bisector must cut the segment it is going through at a 90 degree angle. ** Problem #1:  Construct a perpendicular bisector of the given line segment AB. __Answer:__  

Problem #2

If segment DB equals 20 inches, then what does segment AB equal?

__ANSWER:__ Segment AB equals 40 inches because the line segment DB bisects segment AD, and it splits AB in half. 

Problem #3 If segment ED is a perpendicular bisector to segment AB, what does angle EDB equal?

__ANSWER:__ Segment EDB equals 90

SOURCES:  @http://www.mathopenref.com/bisectorperpendicular.html @http://www.icoachmath.com/Sitemap/Perpendicular_Bisector.html @http://www.mathwarehouse.com/geometry/circle/chord-perpendicular-bisector.html

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