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Distance Between Two Points

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Summary
The content provides an in-depth exploration of calculating distances in the x-y plane, focusing on horizontal, vertical, and diagonal distances, and extends these concepts to understanding circles in the x-y plane.
  • Horizontal and vertical distances can be easily calculated by subtracting the respective coordinates.
  • Diagonal distances require the use of the Pythagorean theorem applied to the slope triangle formed between the two points.
  • Scaling down the slope triangle by the greatest common factor simplifies the calculation of the hypotenuse, which represents the distance between two points.
  • The distance formula is discouraged in favor of a visual and conceptual understanding using the Pythagorean theorem.
  • The equation of a circle in the x-y plane is derived from the Pythagorean theorem, emphasizing the circle's radius as the hypotenuse of slope triangles formed by radii to points on the circle.
Chapters
00:24
Understanding Horizontal and Vertical Distances
00:54
Calculating Diagonal Distances
02:42
Simplifying Calculations with Proportional Thinking
04:42
Circles in the x-y Plane
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Quiz

Coordinate Geometry (Not tested on Focus edition)