AI generatedAlgebraKS3 / GCSE

Length between two coordinates

Use Pythagoras after finding coordinate differences.

  • Find horizontal and vertical differences.
  • These are perpendicular sides of a right triangle. Use Pythagoras for the distance.

Example 1

Find the distance from to .

Coordinate graph−6−5−4−3−2−112−5−4−3−2−11230AB
Find the horizontal difference.Find the vertical difference.Apply Pythagoras, then take the positive square root.

Example 2

Find the distance from to .

Coordinate graph−4−2246810−4−22468100AB
Find the horizontal difference.Find the vertical difference.Apply Pythagoras, then take the positive square root.

Your turn

Question 1

Find the distance from to .

Coordinate graph−4−3−2−11234−5−4−3−2−11230AB
Check answer
Find the horizontal difference.Find the vertical difference.Apply Pythagoras, then take the positive square root.
Question 2

Find the distance from to .

Coordinate graph−224681012−4−22468100AB
Check answer
Find the horizontal difference.Find the vertical difference.Apply Pythagoras, then take the positive square root.
Question 3

Find the distance from to .

Coordinate graph−2−1123456−5−4−3−2−11230AB
Check answer
Find the horizontal difference.Find the vertical difference.Apply Pythagoras, then take the positive square root.
Question 4

Find the distance from to .

Coordinate graph−22468101214−4−22468100AB
Check answer
Find the horizontal difference.Find the vertical difference.Apply Pythagoras, then take the positive square root.
Question 5

Find the distance from to .

Coordinate graph−2−11234567−4−2240AB
Check answer
Find the horizontal difference.Find the vertical difference.Apply Pythagoras, then take the positive square root.
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