Asked by Kendra
Write the equation of a perpendicular bisector of the segment joining the points: (7,2) and (3,0).
Okay, so I don't even know what a bisector is. Is there a formula for this or something? If some could someone tell me it. Or tell me the process.
Okay, so I don't even know what a bisector is. Is there a formula for this or something? If some could someone tell me it. Or tell me the process.
Answers
Answered by
MathMate
perpendicular bisector is a line that is perpendicular to a line segment (or line joining two points) and passes through the mid-point of the line segment.
For the given points A(7,2) and B(3,0),
the mid point D is given by:
D((7+3)/2, (2+0)/2)
=D(5,1)
The slope of line segment AB is
m=(3-7)/(0-2)
=2
The slope of the perpendicular bisector
= -1/m = -(1/2)
Line passing through D and perpendicular to segment AB is
y-5=-(1/2)(x-1)
Simplify and verify.
For the given points A(7,2) and B(3,0),
the mid point D is given by:
D((7+3)/2, (2+0)/2)
=D(5,1)
The slope of line segment AB is
m=(3-7)/(0-2)
=2
The slope of the perpendicular bisector
= -1/m = -(1/2)
Line passing through D and perpendicular to segment AB is
y-5=-(1/2)(x-1)
Simplify and verify.
Answered by
Kendra
Wait wouldn't that last part be y-1=1/2(x-5)
because five is the midpoint of the x's
because five is the midpoint of the x's
Answered by
MathMate
You're right!
Thanks for pointing it out.
Thanks for pointing it out.
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