Math With Mr DJ

Grade 6 · Geometry · 6.G.A.3

Side Lengths from Coordinates Worksheets

Free, printable, and ready to teach: a practice worksheet, homework, an exit ticket, and an answer key with step-by-step solutions — plus lesson slides you can edit. No sign-up needed.

First page of the side lengths from coordinates practice worksheet Open the practice worksheet
Key idea

Same y → horizontal side → subtract the x-values. Same x → vertical side → subtract the y-values. Length is never negative. When the side crosses zero, the two distances ADD: from −5 to 4 is 5 + 4 = 9 units.

Sample problems

  1. Find the length from (1, 4) to (8, 4).
  2. Find the length from (3, 2) to (3, 10).
  3. Find the length from (−6, 5) to (−1, 5).
  4. Find the length from (−2, −7) to (−2, −1).

Common mistakes to watch for

  • Subtracted the y-values and got 0. Matching coordinates tell you which pair to leave alone.
  • Subtracted the x-values and got 0.
  • Answered 1 by computing 3 − 4, ignoring the negative sign. When a side crosses zero the two distances ADD.

The answer key explains each one, so you can tell what a wrong answer means.

How to use this set

  1. Teach with the slides (about 15 minutes), or watch the video together.
  2. Practice with the worksheet. Questions climb from fluency to application to reasoning.
  3. Check understanding with the exit ticket, and send the homework home.
  4. Mark with the answer key — each answer shows the steps and the most likely mistake.

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