Algebra › Section K · Conics › Topic K.1
Distance, midpoint, and circles
Coordinates give every point in the plane an address — and once points have addresses, geometric questions become arithmetic. The distance between two points is Pythagoras in disguise, the midpoint is an average, and a circle is the distance formula set equal to a constant.
In this topic
- Where geometry gets its address
- Distance: Pythagoras with an address
- Midpoint: the average point
- Circles: the distance formula, frozen
- Worked example: a circle through a point
- General form: complete the square twice
- Worked example: a hike measured by coordinates
- Common mistakes to avoid
- Key takeaways
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