8th Grade Math · Distance Between Two Points
From coordinates Worksheets
Fresh practice, ready to print. Answer key included.
Points too far apart to plot, such as (−4, 7) and (11, 15).
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Or start with a ready-made version.
How it works: a quick refresher
The rules this worksheet practices, then one problem worked from start to finish.
| Strategy | How it works |
|---|---|
| Make a right triangle | Draw across from one point and up or down from the other. The segment AB is the hypotenuse. |
| Measure the legs | Across is the difference in x. Up or down is the difference in y. |
| Pythagorean theorem | a² + b² = c², so the distance is √(a² + b²). |
| Signs do not matter | Each leg is a length, so use the size of each difference: from x = −3 to x = 3 is 6. |
| Round at the end | √29 ≈ 5.385, so the distance is about 5.4 units. |
Worked example
Find the distance between A(−4, 7) and B(11, 15).
- 1Across: from x = −4 to x = 11 is 15 units.
- 2Up: from y = 7 to y = 15 is 8 units.
- 3Pythagorean theorem: 15² + 8² = 225 + 64 = 289.
- 4√289 = 17, so AB = 17 units.
Ready-made versions
Three fixed versions you can link to or share. Each is a PDF with its own answer key.
- From coordinates Worksheets, version 1Worksheet PDFAnswer key PDF
- From coordinates Worksheets, version 2Worksheet PDFAnswer key PDF
- From coordinates Worksheets, version 3Worksheet PDFAnswer key PDF
Grade level and standard
Written for 8th grade math (geometry) and aligned to CCSS 8.G.B.8. It also works as review in later grades.
Common questions
- Is there an answer key?
- Yes. Every worksheet has a matching answer key with each answer worked on the same grid or layout as the question. The worksheet code printed at the bottom of each page pairs a sheet with its key.
- Is this the distance formula?
- Yes. The distance formula is the Pythagorean theorem written with coordinates. Drawing the triangle first shows where it comes from, and the answers are the same.
- Why are some answers rounded?
- Most distances between grid points are not whole numbers. √29 is about 5.385, so the rounded section asks for the nearest tenth: 5.4.
- How many different versions are there?
- About a million per skill. Each time you press the button the problems are generated fresh, so you can print a different version for every student, a retake, or another night of practice.
- Are the worksheets free?
- Yes. They are free to print and copy for your home or classroom, with no sign-up.
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