Distance between two points on the grid

Answer Key - Grade 8 Math Worksheet - Building Confidence

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

1. 1.

   Milo's map puts the library at (-3, 1) and the park at (5, 4). How long is the across leg of the right triangle under their path, in units?

   8
2. 2.

   Noah's map puts the bus stop at (2, -4) and the school at (6, 3). How long is the up-or-down leg of the right triangle under their path, in units?

   7
3. 3.

   Pia's map puts the pond at (-7, -2) and the garden at (3, 6). How long is the across leg of the right triangle under their path, in units?

   10
4. 4.

   Ren's map puts the bike rack at (-2, -5) and the gym at (3, 4). How long is the up-or-down leg of the right triangle under their path, in units?

   9
5. 5.

   Zee draws a kite string from (-1, 1) to (1, 4). The right triangle under it has legs of 2 and 3 units. What is the area of the square on the segment?

   13
6. 6.

   Ari draws a ribbon from (2, -3) to (3, 2). The right triangle under it has legs of 1 and 5 units. What is the area of the square on the segment?

   26
7. 7.

   Bo draws a robot's path from (-2, -1) to (2, 4). The right triangle under it has legs of 4 and 5 units. What is the area of the square on the segment?

   41
8. 8.

   Jun draws a segment from (-4, -2) to (3, 5) and a right triangle under it. Where is the right-angle corner?

   • (3, -2)
   • (-0.5, 1.5)
   • (-2, 3)
   • (3, 5)
9. 9.

   Kira sketches a segment from (1, -6) to (6, 2), with a right triangle under it. Where is the right-angle corner?

   • (3.5, -2)
   • (6, -6)
   • (6, 2)
   • (-6, 6)
10. 10.

    On grid paper, Luz joins (-7, 1) to (-2, 8) with a right triangle under it. Where is the right-angle corner?

    • (1, -2)
    • (-2, 8)
    • (-4.5, 4.5)
    • (-2, 1)