An Odyssey Through Distance and Midpoint Formulas in the Plane
TL;DR: Drop two points on a coordinate plane and two questions usually follow, how far apart are they, and where is the spot exactly between them? For distance, you square the gap in x, square the gap in y, add them up, and take the square root. It is the Pythagorean theorem wearing coordinate clothes. […]
Mastering the Midpoint & Distance on the Number Line
The midpoint of a segment is the average of its endpoints, taken coordinate by coordinate. The distance between them comes from the Pythagorean theorem applied to the horizontal and vertical gaps. Worked examples: midpoint and distance on a number line Practice questions on midpoint and distance Find the midpoint between the numbers (2) and (8) […]