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Why the Distance Formula Works with Negative Coordinates

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Orienting Yourself: The Use of Coordinates · Distance and reflection · 4:02

You'll learn: Subtract negative coordinates and explain why reversing endpoint order preserves distance.

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Why the Distance Formula Works with Negative Coordinates

4:02

Playing

Why the Distance Formula Works with Negative Coordinates

You'll learn: Subtract negative coordinates and explain why reversing endpoint order preserves distance.

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Same topic

Distance and reflection

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Find Distances Along Horizontal and Vertical Lines
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Find Distances Along Horizontal and Vertical Lines
You'll learn: Recognise equal x- or y-coordinates and use the absolute difference of the other coordinates.
Find a Slanting Distance by Building a Right Triangle
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Find a Slanting Distance by Building a Right Triangle
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Build the Distance Formula from the Picture
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Build the Distance Formula from the Picture
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Use the Distance Formula to Measure a Triangle
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Applications

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Predict a Shape Before Plotting Its Points
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Build a Right Triangle Around a Given Point
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Can a Street Address Identify More Than One Crossing?
You'll learn: Test whether a street-index convention identifies a unique crossing and why direction information matters.
Do Two Circular Icons Fit and Overlap on a Screen?
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Do Two Circular Icons Fit and Overlap on a Screen?
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Is This Tilted Quadrilateral Really a Square?
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Is This Tilted Quadrilateral Really a Square?
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Challenge explorations

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Are Three Points on One Straight Line?
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Are Three Points on One Straight Line?
You'll learn: Use distance addition to test collinearity, then plot both sets to verify.
Build Isosceles Triangles Using Coordinates
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What Makes a Point the Midpoint?
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What Makes a Point the Midpoint?
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Find a Missing Endpoint from the Midpoint
You'll learn: Reverse the coordinate-average relationship to find an unknown endpoint.
Divide a Segment into Three Equal Parts
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Divide a Segment into Three Equal Parts
You'll learn: Extend equal division from halves to thirds and find both internal division points.