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A person starts at point A and walks 5 blocks North, then 3 blocks West, then 2 blocks South and finally 1 block East. What is the person's final position relative to point A?

  1. A
    2 blocks West and 3 blocks North
  2. B
    4 blocks West and 4 blocks North
  3. C
    1 block West and 2 blocks North
  4. D
    7 blocks West and 3 blocks North

Solution & Step-by-step Explanation

Let's track the movement on a Cartesian coordinate plane assuming point A is at the origin :
1. Walks 5 blocks North:
2. Walks 3 blocks West:
3. Walks 2 blocks South:
4. Walks 1 block East:

Relative to the starting point , the coordinates mean the person is exactly 2 blocks West and 3 blocks North.

Practice this question

Try it yourself before checking the explanation above.

A person starts at point A and walks 5 blocks North, then 3 blocks West, then 2 blocks South and finally 1 block East. What is the person's final position relative to point A?
A
2 blocks West and 3 blocks North
B
4 blocks West and 4 blocks North
C
1 block West and 2 blocks North
D
7 blocks West and 3 blocks North

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