Coordinate GeometryDistance, midpoint, slope proofs and circle equations on the…10th Grade(x₁, y₁)(x₂, y₂)Distanced = √[(x₂−x₁)² + (y₂−y₁)²]MidpointM = ( (x₁+x₂)/2 , (y₁+y₂)/2 )Slopem = (y₂−y₁) / (x₂−x₁)Circle(x−h)² + (y−k)² = r²LINE RELATIONSHIPSParallelslopes are equalm₁ = m₂Perpendicularslopes are negative reciprocalsm₁ × m₂ = −1Collinearsame slope between every pair of pointsno trianglePROVING A SHAPE ON THE GRIDParallelogramboth pairs of opposite sides have equal slopesRectangleparallelogram + one pair of adjacent slopes multiply to −1Rhombusparallelogram + all four side lengths equalSquarerhombus + one right angleIsosceles triangletwo distances equalCoordinate Geometrywww.littleactivity.com

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Math · 10th Grade

Coordinate Geometry

Distance, midpoint, slope proofs and circle equations on the plane.

How to use it

Distance for sides, slope for angles. That is the whole toolkit.

Free · print-ready PDF · US Letter and A4

Grade
10th Grade
Ages
15–16
Subject
Math
Pages
1

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