Distance between two points on the grid

Answer Key - Grade 8 Math Worksheet

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

1. 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?

   √58
2. 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?

   √50
3. 3.

   On Tala's grid, the bike shop is at (-5, 2) and the hill top is at (1, 8). Written as a square root, how far apart are they, in units?

   √72
4. 4.

   On Zee's grid, the charger is at (0, -4) and the toy box is at (3, 2). Written as a square root, how far apart are they, in units?

   √45
5. 5.

   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?

   10.2
6. 6.

   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?

   11.4
7. 7.

   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?

   11.3
8. 8.

   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.
   • The pool is farther.
   • They are the same distance away.
9. 9.

   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 tree house is farther.
   • The swings are farther.
10. 10.

    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.