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Lesson 4: Find Distance in the Coordinate Plane — Practice Questions

  1. 1. What is the distance between point A located at $(-2, 5)$ and point B located at $(9, 5)$? The distance is ___ units.

  2. 2. Calculate the vertical distance between the points $(3, -4)$ and $(3, 8)$. The distance is ___ units.

  3. 3. Two adjacent vertices of a square are located at $(-4, 9)$ and $(5, 9)$. The length of one side of the square is ___ units.

  4. 4. A parallelogram has vertices at $(-5, 1)$, $(3, 1)$, $(6, 6)$, and $(-2, 6)$. What is its vertical height in units? The height is ___ units.

  5. 5. A rectangular garden has corners with coordinates $(0, 0)$, $(8, 0)$, $(8, 5)$, and $(0, 5)$. What is the perimeter of the garden? The perimeter is ___ units.

  6. 6. What is the distance between point $A(1, 2)$ and point $B(10, 14)$ on the coordinate plane? The distance is ___ units.

  7. 7. Find the distance between points $M(2, -4)$ and $N(9, 1)$. Express your answer as a radical.

  8. 8. What is the exact distance between the origin, point $O(0, 0)$, and point $P(8, -15)$? The distance is ___ . (a number)

  9. 9. A drone flies in a straight line from a starting point at $(1, 1)$ to a delivery location at $(7, 9)$. What is the total distance the drone traveled?

    • A. 8 units
    • B. 10 units
    • C. 14 units
    • D. 100 units
  10. 10. On a treasure map, the starting point is at $(-6, -2)$ and the treasure is at $(6, 3)$. What is the straight-line distance to the treasure? The distance is ___ units.