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Distance on the Coordinate Plane — Easy Worksheet 1
Grade 8 · MathSheets Name: ____________________ Date: __________
Find the distance between the two points.
How to solve
Use the distance formula: d = √((x₂ - x₁)² + (y₂ - y₁)²). Find the horizontal and vertical differences, square each, add them, and take the square root.
Example
Find the distance between A(7, 1) and B(-1, 7).
Answer: 10
Not quite. The answer is
💡 Draw a right triangle with AB as the hypotenuse. Horizontal leg: |−1 − (−5)| = |4| = 4. Vertical leg: |−3 − 0| = |−3| = 3. By the Pythagorean theorem, d2 = 42 + 32 = 16 + 9 = 25, so d = √25 = 5. The distance is 5.
✓ Correct!
Not quite. The answer is
💡 Draw a right triangle with AB as the hypotenuse. Horizontal leg: |−1 − (−5)| = |4| = 4. Vertical leg: |−3 − 0| = |−3| = 3. By the Pythagorean theorem, d2 = 42 + 32 = 16 + 9 = 25, so d = √25 = 5. The distance is 5.
💡 How to solve: Distance on the Coordinate Plane
Use the distance formula: d = √((x₂ - x₁)² + (y₂ - y₁)²). Find the horizontal and vertical differences, square each, add them, and take the square root.
Try a similar one
Find the distance between A(-10, 8) and B(-13, 4).
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Draw a right triangle with AB as the hypotenuse. Horizontal leg: |−12 − (−9)| = |−3| = 3. Vertical leg: |−5 − (−1)| = |−4| = 4. By the Pythagorean theorem, d2 = 32 + 42 = 9 + 16 = 25, so d = √25 = 5. The distance is 5.
✓ Correct!
Not quite. The answer is
💡 Draw a right triangle with AB as the hypotenuse. Horizontal leg: |−12 − (−9)| = |−3| = 3. Vertical leg: |−5 − (−1)| = |−4| = 4. By the Pythagorean theorem, d2 = 32 + 42 = 9 + 16 = 25, so d = √25 = 5. The distance is 5.
💡 How to solve: Distance on the Coordinate Plane
Use the distance formula: d = √((x₂ - x₁)² + (y₂ - y₁)²). Find the horizontal and vertical differences, square each, add them, and take the square root.
Try a similar one
Find the distance between A(10, 4) and B(14, 1).
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Draw a right triangle with AB as the hypotenuse. Horizontal leg: |5 − 0| = |5| = 5. Vertical leg: |6 − (−6)| = |12| = 12. By the Pythagorean theorem, d2 = 52 + 122 = 25 + 144 = 169, so d = √169 = 13. The distance is 13.
✓ Correct!
Not quite. The answer is
💡 Draw a right triangle with AB as the hypotenuse. Horizontal leg: |5 − 0| = |5| = 5. Vertical leg: |6 − (−6)| = |12| = 12. By the Pythagorean theorem, d2 = 52 + 122 = 25 + 144 = 169, so d = √169 = 13. The distance is 13.
💡 How to solve: Distance on the Coordinate Plane
Use the distance formula: d = √((x₂ - x₁)² + (y₂ - y₁)²). Find the horizontal and vertical differences, square each, add them, and take the square root.
Try a similar one
Find the distance between A(-5, 1) and B(1, 9).
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Draw a right triangle with AB as the hypotenuse. Horizontal leg: |14 − 9| = |5| = 5. Vertical leg: |−22 − (−10)| = |−12| = 12. By the Pythagorean theorem, d2 = 52 + 122 = 25 + 144 = 169, so d = √169 = 13. The distance is 13.
✓ Correct!
Not quite. The answer is
💡 Draw a right triangle with AB as the hypotenuse. Horizontal leg: |14 − 9| = |5| = 5. Vertical leg: |−22 − (−10)| = |−12| = 12. By the Pythagorean theorem, d2 = 52 + 122 = 25 + 144 = 169, so d = √169 = 13. The distance is 13.
💡 How to solve: Distance on the Coordinate Plane
Use the distance formula: d = √((x₂ - x₁)² + (y₂ - y₁)²). Find the horizontal and vertical differences, square each, add them, and take the square root.
Try a similar one
Find the distance between A(-2, -4) and B(-10, 2).
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Draw a right triangle with AB as the hypotenuse. Horizontal leg: |1 − (−3)| = |4| = 4. Vertical leg: |−11 − (−8)| = |−3| = 3. By the Pythagorean theorem, d2 = 42 + 32 = 16 + 9 = 25, so d = √25 = 5. The distance is 5.
✓ Correct!
Not quite. The answer is
💡 Draw a right triangle with AB as the hypotenuse. Horizontal leg: |1 − (−3)| = |4| = 4. Vertical leg: |−11 − (−8)| = |−3| = 3. By the Pythagorean theorem, d2 = 42 + 32 = 16 + 9 = 25, so d = √25 = 5. The distance is 5.
💡 How to solve: Distance on the Coordinate Plane
Use the distance formula: d = √((x₂ - x₁)² + (y₂ - y₁)²). Find the horizontal and vertical differences, square each, add them, and take the square root.
Try a similar one
Find the distance between A(-7, -6) and B(-10, -2).
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Draw a right triangle with AB as the hypotenuse. Horizontal leg: |−8 − 0| = |−8| = 8. Vertical leg: |5 − (−1)| = |6| = 6. By the Pythagorean theorem, d2 = 82 + 62 = 64 + 36 = 100, so d = √100 = 10. The distance is 10.
✓ Correct!
Not quite. The answer is
💡 Draw a right triangle with AB as the hypotenuse. Horizontal leg: |−8 − 0| = |−8| = 8. Vertical leg: |5 − (−1)| = |6| = 6. By the Pythagorean theorem, d2 = 82 + 62 = 64 + 36 = 100, so d = √100 = 10. The distance is 10.
💡 How to solve: Distance on the Coordinate Plane
Use the distance formula: d = √((x₂ - x₁)² + (y₂ - y₁)²). Find the horizontal and vertical differences, square each, add them, and take the square root.
Try a similar one
Find the distance between A(3, 5) and B(-5, -1).
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Draw a right triangle with AB as the hypotenuse. Horizontal leg: |7 − (−5)| = |12| = 12. Vertical leg: |−14 − (−9)| = |−5| = 5. By the Pythagorean theorem, d2 = 122 + 52 = 144 + 25 = 169, so d = √169 = 13. The distance is 13.
✓ Correct!
Not quite. The answer is
💡 Draw a right triangle with AB as the hypotenuse. Horizontal leg: |7 − (−5)| = |12| = 12. Vertical leg: |−14 − (−9)| = |−5| = 5. By the Pythagorean theorem, d2 = 122 + 52 = 144 + 25 = 169, so d = √169 = 13. The distance is 13.
💡 How to solve: Distance on the Coordinate Plane
Use the distance formula: d = √((x₂ - x₁)² + (y₂ - y₁)²). Find the horizontal and vertical differences, square each, add them, and take the square root.
Try a similar one
Find the distance between A(-5, 4) and B(-8, 8).
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Draw a right triangle with AB as the hypotenuse. Horizontal leg: |10 − 5| = |5| = 5. Vertical leg: |−12 − 0| = |−12| = 12. By the Pythagorean theorem, d2 = 52 + 122 = 25 + 144 = 169, so d = √169 = 13. The distance is 13.
✓ Correct!
Not quite. The answer is
💡 Draw a right triangle with AB as the hypotenuse. Horizontal leg: |10 − 5| = |5| = 5. Vertical leg: |−12 − 0| = |−12| = 12. By the Pythagorean theorem, d2 = 52 + 122 = 25 + 144 = 169, so d = √169 = 13. The distance is 13.
💡 How to solve: Distance on the Coordinate Plane
Use the distance formula: d = √((x₂ - x₁)² + (y₂ - y₁)²). Find the horizontal and vertical differences, square each, add them, and take the square root.
Try a similar one
Find the distance between A(2, -9) and B(7, -21).
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Distance on the Coordinate Plane — Easy Worksheet 1
Find the distance between the two points.