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6th Grade Math · Plotting Points in Four Quadrants

Distance between points Worksheets

Fresh practice, ready to print. Answer key included.

Points in a vertical or horizontal line, often on opposite sides of an axis.

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Distance between points Worksheets: page 1 of a free printable 6th grade math worksheet
Page 1 of a sample worksheet

How it works: a quick refresher

The rules this worksheet practices, then one problem worked from start to finish.

StrategyHow it works
Signs give the directionA negative x means left of the y-axis. A negative y means below the x-axis.
The four quadrantsQuadrant I is (+, +), II is (−, +), III is (−, −) and IV is (+, −), counting counterclockwise.
Same x, vertical distanceFrom (2, 5) to (2, −3) is 5 + 3 = 8 units: |5| + |−3|.
Same side of the axisFrom (2, 5) to (2, 1) is 5 − 1 = 4 units.

Worked example

Find the distance from A(−3, 4) to B(−3, −2).

  1. 1The x-coordinates match, so the points are on a vertical line.
  2. 2A is 4 units above the x-axis and B is 2 units below it.
  3. 3They are on opposite sides, so add: 4 + 2 = 6 units.

Ready-made versions

Three fixed versions you can link to or share. Each is a PDF with its own answer key.

Grade level and standard

Written for 6th grade math (number system) and aligned to CCSS 6.NS.C.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.
Why is the distance never negative?
Distance is a length, like the number of grid squares between the points. That is why it uses absolute value: |−2| is 2.
My child plots (−3, 4) at (4, −3). How can we fix that?
Say it aloud each time: x first, across; y second, up or down. Pointing across with one finger before moving up or down with the other helps.
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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