Plot Z at (5, –6) in Quadrant IV. If we choose I(5, 0) and N(0, 0), side IZ = 6 units, IN = 5 units and by the Baudhāyana-Pythagoras Theorem, ZN = √61 units.
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(i) Sides AM and MP are perpendicular. (ii) Side AM is parallel to the x-axis. (iii) Points M(–5, –2) and P (–5, 2) are mirror images across the x-axis. Plotting verifies these geometric relationships.
A line through W parallel to the y-axis keeps the x-coordinate constant at –5. Thus, H will have coordinates (–5, y). H can lie in Quadrant II (if y > 0) or Quadrant III (if y < 0).
The point where the horizontal x-axis and the vertical y-axis intersect is called the origin. At this specific central location, both the x-coordinate and the y-coordinate are exactly zero, denoted as (0, 0).
The general observations remain the same, but the specific changes swap. The x-coordinates would stay the same, while the y-coordinates would change their signs. The triangle would flip vertically instead of horizontally.