Distance between two points on the grid
Grade 8 Math Worksheet

Circle the best answer, or write your answer on the line.
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?
On Pia's grid, point A is at (-3, -2) and point B is at (2, 4). Written as a square root, how far apart are they, in units?
Coordinate grid of unit squares; both axes run from negative ten to ten. Points (-3, -2) and (2, 4). No triangle is drawn. Coordinate grid of unit squares; both axes run from negative ten to ten. Points (-3, -2) and (2, 4). No triangle is drawn. −10 −8 −6 −4 −2 2 4 6 8 10 −10 −9 −8 −7 −6 −5 −4 −3 −2 −1 1 2 3 4 5 6 7 8 9 10 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?
Coordinate grid of unit squares; both axes run from negative ten to ten. Points (4, -3) and (5, 4). No triangle is drawn. Coordinate grid of unit squares; both axes run from negative ten to ten. Points (4, -3) and (5, 4). No triangle is drawn. −10 −8 −6 −4 −2 2 4 6 8 10 −10 −9 −8 −7 −6 −5 −4 −3 −2 −1 1 2 3 4 5 6 7 8 9 10 No triangle is drawn. 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?
Coordinate grid of unit squares; both axes run from negative ten to ten. Points (0, -4) and (3, 2). No triangle is drawn. Coordinate grid of unit squares; both axes run from negative ten to ten. Points (0, -4) and (3, 2). No triangle is drawn. −10 −8 −6 −4 −2 2 4 6 8 10 −10 −9 −8 −7 −6 −5 −4 −3 −2 −1 1 2 3 4 5 6 7 8 9 10 charger toy box 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?
Coordinate grid of unit squares; both axes run from negative ten to ten. Points (-6, 1) and (4, 6). No triangle is drawn. Coordinate grid of unit squares; both axes run from negative ten to ten. Points (-6, 1) and (4, 6). No triangle is drawn. −10 −8 −6 −4 −2 2 4 6 8 10 −10 −9 −8 −7 −6 −5 −4 −3 −2 −1 1 2 3 4 5 6 7 8 9 10 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?
Coordinate grid of unit squares; both axes run from negative ten to ten. Points (2, -8) and (9, 1). No triangle is drawn. Coordinate grid of unit squares; both axes run from negative ten to ten. Points (2, -8) and (9, 1). No triangle is drawn. −10 −8 −6 −4 −2 2 4 6 8 10 −10 −9 −8 −7 −6 −5 −4 −3 −2 −1 1 2 3 4 5 6 7 8 9 10 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?
Coordinate grid of unit squares; both axes run from negative ten to ten. Three points: (0, 0), (1, 7) and (5, 4). Coordinate grid of unit squares; both axes run from negative ten to ten. Three points: (0, 0), (1, 7) and (5, 4). −10 −8 −6 −4 −2 2 4 6 8 10 −10 −9 −8 −7 −6 −5 −4 −3 −2 −1 1 2 3 4 5 6 7 8 9 10 - The pool is farther.
- The library is farther.
- They are the same distance away.
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?
Coordinate grid of unit squares; both axes run from negative ten to ten. Three points: (-2, -1), (0, 7) and (3, 5). Coordinate grid of unit squares; both axes run from negative ten to ten. Three points: (-2, -1), (0, 7) and (3, 5). −10 −8 −6 −4 −2 2 4 6 8 10 −10 −9 −8 −7 −6 −5 −4 −3 −2 −1 1 2 3 4 5 6 7 8 9 10 - The swings are farther.
- The tree house is farther.
- They are the same distance away.
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?
Coordinate grid of unit squares; both axes run from negative ten to ten. Three points: (1, -3), (2, 5) and (6, 2). Coordinate grid of unit squares; both axes run from negative ten to ten. Three points: (1, -3), (2, 5) and (6, 2). Coordinate grid of unit squares −10 −8 −6 −4 −2 2 4 6 8 10 −10 −9 −8 −7 −6 −5 −4 −3 −2 −1 1 2 3 4 5 6 7 8 9 10 - The barn is farther.
- The farm stand is farther.
- They are the same distance away.
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?
Coordinate grid of unit squares; both axes run from negative ten to ten. Three points: (-4, -4), (-1, 5) and (2, 3). Coordinate grid of unit squares; both axes run from negative ten to ten. Three points: (-4, -4), (-1, 5) and (2, 3). −10 −8 −6 −4 −2 2 4 6 8 10 −10 −9 −8 −7 −6 −5 −4 −3 −2 −1 1 2 3 4 5 6 7 8 9 10 - The beach is farther.
- They are the same distance away.
- The dock is farther.