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Grade 10 · Math

Find distance between coordinates

Use horizontal and vertical changes to find distance between two points.

8 generated examples + worked example

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Worked example

Find the distance from (1, 2) to (4, 6).

Answer & why

Answer: 5

The changes are 3 and 4; √(32 + 42) = 5 coordinate units.

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8 reproducible examples from this math generator. Choose New examples for another set.

Question 1

Find the distance between (6, 2) and (11, 14) in coordinate units.

  1. 15
  2. 13
  3. 12
  4. 14
A hint

Use the horizontal and vertical changes as the legs of a right triangle.

Answer & why

Answer: 13

The horizontal change is 5 and the vertical change is 12. Distance = √(52 + 122) = √169 = 13.

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Question 2

Find the distance between (0, -1) and (5, 11) in coordinate units.

  1. 16
  2. 13
  3. 12
  4. 11
A hint

Use the horizontal and vertical changes as the legs of a right triangle.

Answer & why

Answer: 13

The horizontal change is 5 and the vertical change is 12. Distance = √(52 + 122) = √169 = 13.

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Question 3

Find the distance between (-7, 6) and (-4, 10) in coordinate units.

  1. 3
  2. 5
  3. 9
  4. 4
A hint

Use the horizontal and vertical changes as the legs of a right triangle.

Answer & why

Answer: 5

The horizontal change is 3 and the vertical change is 4. Distance = √(32 + 42) = √25 = 5.

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Question 4

Find the distance between (-5, 0) and (2, 24) in coordinate units.

  1. 26
  2. 25
  3. 29
  4. 23
A hint

Use the horizontal and vertical changes as the legs of a right triangle.

Answer & why

Answer: 25

The horizontal change is 7 and the vertical change is 24. Distance = √(72 + 242) = √625 = 25.

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Question 5

Find the distance between (1, 8) and (6, 20) in coordinate units.

  1. 12
  2. 11
  3. 13
  4. 14
A hint

Use the horizontal and vertical changes as the legs of a right triangle.

Answer & why

Answer: 13

The horizontal change is 5 and the vertical change is 12. Distance = √(52 + 122) = √169 = 13.

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Question 6

Find the distance between (6, 1) and (9, 5) in coordinate units.

  1. 3
  2. 8
  3. 5
  4. 6
A hint

Use the horizontal and vertical changes as the legs of a right triangle.

Answer & why

Answer: 5

The horizontal change is 3 and the vertical change is 4. Distance = √(32 + 42) = √25 = 5.

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Question 7

Find the distance between (-7, -2) and (-2, 10) in coordinate units.

  1. 14
  2. 16
  3. 13
  4. 12
A hint

Use the horizontal and vertical changes as the legs of a right triangle.

Answer & why

Answer: 13

The horizontal change is 5 and the vertical change is 12. Distance = √(52 + 122) = √169 = 13.

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Question 8

Find the distance between (2, 1) and (5, 5) in coordinate units.

  1. 7
  2. 3
  3. 5
  4. 6
A hint

Use the horizontal and vertical changes as the legs of a right triangle.

Answer & why

Answer: 5

The horizontal change is 3 and the vertical change is 4. Distance = √(32 + 42) = √25 = 5.

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