Distance and MidpointTwo formulas for the coordinate plane — one is Pythagoras in…8th GradeDistance uses Pythagoras on the horizontal andvertical gaps. Midpoint is simply the averageof the coordinates.d = √[(x₂−x₁)² + (y₂−y₁)²](1,2) to (4,6)d = 5√(9 + 16).Midpoint of (1,2),(4,6)(2.5, 4)Average the x's, average the y's.Why it worksit is a right triangleThe gaps in x and y are the two legs.Order of subtractiondoes not matterIt is squared, so the sign disappears.Distance is a single number. Midpoint is a point, so it needs twocoordinates.Distance and Midpointwww.littleactivity.com

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Math · 8th Grade

Distance and Midpoint

Two formulas for the coordinate plane — one is Pythagoras in disguise.

How to use it

Distance is a subtraction then a root. Midpoint is an average. Do not mix them up.

Free · print-ready PDF · US Letter and A4

Grade
8th Grade
Ages
13–14
Subject
Math
Pages
1

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