After traveling two blocks north, three blocks west, four blocks south, and five blocks east, in which quadrant will Jean end up?

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To determine in which quadrant Jean will end up after the described movements, it’s helpful to visualize or analyze her starting point and resultant position on a coordinate plane, where the origin (0, 0) represents Jean's starting point.

  1. Jean begins her movement at the origin (0, 0).
  2. Moving two blocks north changes her position to (0, 2).
  1. Then she travels three blocks west, which shifts her to (-3, 2).
  2. After that, she goes four blocks south, moving her down to (-3, -2).
  3. Finally, she moves five blocks east, which brings her to (2, -2).

Now, let's analyze Jean's final position at (2, -2). In the Cartesian coordinate system:

  • Quadrant I contains points where both x and y coordinates are positive.
  • Quadrant II contains points where x is negative and y is positive.
  • Quadrant III contains points where both x and y coordinates are negative.
  • Quadrant IV contains points where x is positive and y is negative.

Since Jean's final coordinates are (2, -2), her x-coordinate is positive while her y-coordinate is negative. This places her in Quadrant IV

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