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Course: College Algebra
Topic: Basic Geometry
Subtopic: Distance & Midpoint Formulae

Overview

Given two points in a place, say with coordinates (x1,y1) and (x2,y2), we can find the exact distance between them and the exact midpoint of the line segment conntecting them using two formulas that you should MEMORIZE:

Distance Formula: `D(P_1,P_2)=sqrt((x_2-x_1)^2+(y_2-y_1)^2)`

Midpoint Formula: `((x_1+x_2)/2,(y_1+y_2)/2)`

Objectives

By the end of this topic you should know and be prepared to be tested on:

Terminology

Terms you should be able to define: point in a plane, distance between two points, line segment, midpoint of a line segment

Mini-Lectures and Examples

STUDY: Geometry - Distance Formula, Midpoint Formula, and Circles

Supplemental Resources (optional)

If you need supplemental tutorial videos with examples relevant to this section go to James Sousa's MathIsPower4U and search for topics: "Using the Distance Formula / Midpoint Formula"

rev. 2020-10-10