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Distance Between Two Points
Distance Between Two Points
8 minutes
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Quiz
Coordinate Geometry (Not tested on Focus edition)
-
Quiz: Vertical and Horizontal Lines
5 questions -
Quiz: Intercepts
5 questions -
Quiz: Writing Equations of Lines
5 questions -
Quiz: Distance Between Two Points
5 questions -
Quiz: Reflections in the x-y Plane
5 questions -
Quiz: Graphs of Quadratics
5 questions -
Quiz: Coordinate Geometry (Not te...
5 questions
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 slope triangles, which are inherently right triangles.
- Scaling down slope triangles using common factors simplifies the calculation of diagonal distances.
- The distance formula is discouraged in favor of visual and proportional thinking to enhance understanding.
- 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.
Chapters
00:00
Understanding Horizontal and Vertical Distances
00:54
Calculating Diagonal Distances
03:37
The Pitfalls of the Distance Formula
04:42
Applying Concepts to Circles in the x-y Plane
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