Midpoint of a Straight Line SegmentDate: 5/7/96 at 16:18:16 From: Greg Williams Subject: What is the midpoint? Geometry: What is the midpoint of this: (-3,4) (5,-4)? Use the distance formula. Thanks a bunch. Greg Williams of Tallwood High School in Virginia Beach, VA. Date: 8/27/96 at 15:4:15 From: Doctor Mike Subject: Re: What is the midpoint? Hello Mr. Williams, The midpoint of a straight line segment can always be found by averaging the x-coordinates and averaging the y-coordinates. For your example you get (1,0). The distance formula will give you sqrt(32) for the distance from each end to (1,0). It will also give you 2*sqrt(32) for the distance between the original 2 points. That pretty much proves the answer. In general, you can do the same thing with (A,B) , (X,Y) and / A+X B+Y \ ( ----- , ----- ) \ 2 2 / Hint: you'll have to keep things like (A-X)^2 = (X-A)^2 in mind. I hope this helps. -Doctor Mike, The Math Forum Check out our web site! http://mathforum.org/dr.math/ |
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