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8th grade Distance between two points on the grid worksheet

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Distance between two points on the grid

Grade 8 Math Worksheet

NameDate

Circle the best answer, or write your answer on the line.

  1. On Noah's grid, the boat dock is at (-2, 1) and the lighthouse is at (1, 8). Written as a square root, how far apart are they, in units?

  2. On Ren's grid, the kite stand is at (4, -3) and the big tree is at (5, 4). Written as a square root, how far apart are they, in units?

  3. Ari's grid map puts camp at (-1, -3) and the waterfall at (1, 7). To the nearest tenth of a unit, how far apart are they?

  4. Bo's grid map puts the bus garage at (-6, 1) and the school at (4, 6). To the nearest tenth of a unit, how far apart are they?

  5. Esme's grid map puts the rose bed at (2, -8) and the fountain at (9, 1). To the nearest tenth of a unit, how far apart are they?

  6. Jun's grid map puts the dock at (-9, -2) and the island at (-1, 6). To the nearest tenth of a unit, how far apart are they?

  7. Kira stands at (0, 0) on a grid map. Two places are marked: the library at (1, 7) and the pool at (5, 4). Which is farther away in a straight line?

    • The library is farther.
    • They are the same distance away.
    • The pool is farther.

  8. Luz stands at (-2, -1) on a grid map. Two places are marked: the tree house at (0, 7) and the swings at (3, 5). Which is farther away in a straight line?

    • They are the same distance away.
    • The swings are farther.
    • The tree house is farther.

  9. Milo stands at (1, -3) on a grid map. Two places are marked: the farm stand at (2, 5) and the barn at (6, 2). Which is farther away in a straight line?

    • The barn is farther.
    • They are the same distance away.
    • The farm stand is farther.

  10. Noah stands at (-4, -4) on a grid map. Two places are marked: the dock at (-1, 5) and the beach at (2, 3). Which is farther away in a straight line?

    • They are the same distance away.
    • The dock is farther.
    • The beach is farther.
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8th grade Distance between two points on the grid worksheet – printable
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About this worksheet

Distance between two points on the grid. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can draw the right triangle under a slanted segment and count its legs, even across zero.
  • I can find the distance between two points as the side of the square on the segment: an exact root or to the nearest tenth.
  • I can compare two distances, find a perimeter with a slanted side, and test whether a triangle on the grid is a right triangle.

Standard: 8.G.B.8

Words to know

segment: The straight piece of line between two points.

leg (across, up or down): A side of the right triangle that runs along a grid line.

right-angle corner: Where the across leg meets the up-or-down leg.

distance: How long the straight segment is: the side of its square.

across zero: From a negative number to a positive one: add the two parts.

Common mistakes

Your child subtracted the sizes of two coordinates that sit on opposite sides of zero. Going from -3 to 5 is 3 units to zero and 5 more: 8 in all. Count the squares on the grid together.

Your child counted the wrong leg of the triangle. 'Across' is the change in x, the first numbers; 'up or down' is the change in y, the second numbers.

Your child added the two legs of the triangle to get the slanted distance. The squares on the legs add up to the square on the slanted side; the lengths do not. Try legs of 3 and 4: the slanted side is 5, not 7.

Questions parents ask

What is the most common mistake with distance between two points on the grid?

Your child subtracted the sizes of two coordinates that sit on opposite sides of zero. Going from -3 to 5 is 3 units to zero and 5 more: 8 in all. Count the squares on the grid together.

Are these 8th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 8 math

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