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Lesson 5: Find Distances on the Coordinate Plane — Practice Questions

  1. 1. A submarine is located at coordinates $(10, -150.5)$. It descends vertically to a new position at $(10, -225.0)$. What is the vertical distance, in meters, it traveled? The distance is ___ meters.

  2. 2. A bird flies from a branch at $(-8.5, 20)$ to another branch at $(4.5, 20)$. What is the horizontal distance the bird flew, in feet?

    • A. 4 feet
    • B. 13 feet
    • C. 12 feet
    • D. 20 feet
  3. 3. Point $P(4, k)$ is in Quadrant I. Point $Q$ is at $(-9, k)$ and point $R$ is at $(4, 2)$. If the distance from $P$ to $Q$ is equal to the distance from $P$ to $R$, what is the value of $k$? The value of $k$ is ___.

  4. 4. A drone flies from a depot at $(-5, -10)$ to its first delivery at $(-5, 8)$, and then to its second delivery at $(11, 8)$. What is the total distance the drone traveled? The total distance is ___ units.

  5. 5. The point $(c, d)$ is in Quadrant II and the point $(c, f)$ is in Quadrant III. Which expression correctly calculates the distance between these two points?

    • A. |d| + |f|
    • B. |d| - |f|
    • C. |f| - |d|
    • D. |c| + |c|
  6. 6. What is the distance between point A located at $(-2, 5)$ and point B located at $(9, 5)$? The distance is ___ units.

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

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

  9. 9. 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.

  10. 10. 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.