Mathematics Class 10
Coordinate Geometry
Find the distance, the ratio point, the midpoint and a missing corner from coordinates.
13 lessons · ~105 min total
Track progress — 0 of 13 lessons read 0%
Lessons in this topic
- 0 Start here A roadmap: the distance formula, the section formula, and where they meet. · 4 min You are here
- 1 The distance formula Two points hide a right triangle; its longest side is the distance between them. · 8 min
- 2 Counting hops along a segment A cut at ratio m : n sits m equal hops from the first point, of m + n hops total. · 9 min
- 3 The section formula One formula places a point at any ratio m : n on a segment, without counting hops. · 10 min
- 4 Reading the ratio back A point on a segment names its own ratio: both coordinates must agree. · 9 min
- 5 The midpoint, in numbers The midpoint averages each coordinate on its own; it is the ratio 1:1 case. · 8 min
- 6 The missing vertex A parallelogram's diagonals share one midpoint; use that to find its fourth corner. · 10 min
- 7 Cutting a segment into thirds Two points of trisection split a segment into three equal parts, found from thirds of the jump. · 8 min
- 8 Both formulas on one problem One segment, two questions: where an axis cuts it, and where a point is equally far from both ends. · 10 min
- 9 Name the shape from its distances Find every distance. Compare them. The pattern names the shape. · 9 min
- 10 Checkpoint: shapes from distances Five quick checks on shapes from distances, and a point equally far. · 6 min
- 11 The big picture Ten ideas, tied back together. · 6 min
- 12 Track quiz Cheat-sheet table plus a reveal quiz — one question per idea. · 8 min
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