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Signs of x- and y-Coordinates in Each Quadrant

Signs of x- and y-Coordinates in Each Quadrant
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2018-01-18 03:44
Coordinate GeometryGeometric ConstructionSlider Animation
This example demonstrates the sign changes of x- and y-coordinates in each quadrant. The core mathematical concepts include coordinate geometry. Using GeoGebra commands such as Polygon, Join, Point, and Segment, the example visually illustrates the sign changes of coordinates in different quadrants. Suitable for students at the junior high school level and above.

GeoGebra Commands & Parameters

  1. Polygon((-23, 9), (-6.2, 9), (-6.2, -9), (-23, -9)) → LeftBox, f, g, h, i
  2. Polygon((6.2, 9), (9, 9), (9, -9), (6.2, -9)) → RightBox, j, k, l, m
  3. Polygon((-7, 6.2), (7, 6.2), (7, 9), (-7, 9)) → TopBox, n, p, q, r
  4. Polygon((-7, -6.2), (7, -6.2), (7, -9), (-7, -9)) → BottomBox, s, t, a, b
  5. Join(Sequence[Sequence[(i, j), i, -6, 6, 1], j, -6, 6, 1]) → GridSpace
  6. Point(GridSpace) → A
  7. Point(GridSpace) → B
  8. Point(GridSpace) → C
  9. Segment((0, -6), (0, 6)) → yaxis
  10. Element({"I", "II", "III", "IV"}, currquad) → currquadRoman