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Two points are located at (a, c) and (b, c). Find the midpoint and the distance between the two points

midpoint $=\left(\frac{a+b}{2}, c\right)$distance $=|b-a|$

Geometry

Chapter 1

Basics of Geometry

Section 3

Using Midpoint and Distance Formulas

Foundations for Geometry

Geometry Basics

Missouri State University

University of Michigan - Ann Arbor

University of Nottingham

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all right. So for this exercise, we need to find the distance between A and B. So generic point A and B and their mid point, it's all cauldron point M, and it's gonna be somewhere around here. And we know the coordinates for a ours a comma, see, And for B is a b comma SSI. So let's start off by finding their midpoint and their midpoint is gonna be noticed is also on the same height. See writes us on the same level of this graph here. And we have we have this up. The point, eh? At our X coordinate a and the point being are exporting it be. And so our point m lesbian ex co ordinates a plus B over to If it's truly the midpoint and our white board, it must be seen, since it's on the same level as A and B. So this is our midpoint m. Okay, so let's find the distance between A and B. The distance between N B is actually a minus. B writes a distance this distance here in blue I'm trying to find, but it's not just a minus B because I don't want negative distance notice this be could be before this. A. This is a totally arbitrary decision placing this be after the A. So that's just a quick fix. We just take the absolute value of a minus B. So that's a distance between A and B in this scenario.

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