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Distance in the Coordinate Plane - Worksheet 9 - 8th Grade

Hard

Use a² + b² = c² for right triangles, coordinate distances and contextual problems.

hard: Solve for a missing measure or explain a relationship.

23 problems · 20-25 minutes · Skills: pythagorean theorem, coordinate plane, distance formula

About This Worksheet

This hard-level worksheet contains 23 problems designed for 8th Grade students practicing distance in the coordinate plane. Hard worksheets feature challenging problems including multi-step questions, missing values, and real-world applications to push students further.

Read labeled dimensions and coordinates. Recall multiplication facts and length units.

  • Use a² + b² = c² for right triangles, coordinate distances and contextual problems.
  • Check your result using the method in the example before moving to the next question.

How to Solve: Worked Example

Example Problem: Find the distance between (1, 2) and (10, 14).
Solution Steps:
  1. Add the squares of the two perpendicular lengths.
  2. Take the positive square root.
Answer: 15 units
Tip: Check your result using the method in the example before moving to the next question.
1
Find the distance between (1, 2) and (13, 18).
2
Find the distance between (1, 2) and (7, 10).
3
Find the distance between (1, 2) and (46, 62).
4
Find the distance between (1, 2) and (4, 6).
5
Find the distance between (1, 2) and (19, 26).
6
Find the distance between (1, 2) and (43, 58).
7
Find the distance between (1, 2) and (22, 30).
8
Find the distance between (1, 2) and (34, 46).
9
Find the distance between (1, 2) and (31, 42).
10
Find the distance between (1, 2) and (37, 50).
11
Find the distance between (1, 2) and (25, 34).
12
Find the distance between (1, 2) and (40, 54).
13
Find the distance between (1, 2) and (28, 38).
14
Find the distance between (1, 2) and (16, 22).
15
Find the distance between (1, 2) and (10, 14).
16
Find the distance between (1, 2) and (4, 6).
17
Find the distance between (1, 2) and (16, 22).
18
Find the distance between (1, 2) and (37, 50).
19
Find the distance between (1, 2) and (4, 6).
20
Find the distance between (1, 2) and (40, 54).
21
Find the distance between (1, 2) and (46, 62).
22
Find the distance between (1, 2) and (28, 38).
23
Find the distance between (1, 2) and (31, 42).

Answer Key

1. 20 units2. 10 units3. 75 units4. 5 units5. 30 units6. 70 units7. 35 units8. 55 units9. 50 units10. 60 units11. 40 units12. 65 units13. 45 units14. 25 units15. 15 units16. 5 units17. 25 units18. 60 units19. 5 units20. 65 units21. 75 units22. 45 units23. 50 units

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Frequently Asked Questions

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Click "Download PDF" for a file, or "Print" to use your browser. You can save it as a PDF or print it directly. The answer key will be on a separate page.

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Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.

What skills does this pythagorean theorem worksheet cover?

This worksheet focuses on pythagorean theorem, coordinate plane, distance formula. It is designed for 8th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

Can I use this worksheet in my classroom?

Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.

How many problems are on this worksheet?

This worksheet contains 23 problems. It typically takes 20-25 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.