Chapter 1: Orienting Yourself: The Use of Coordinates
Chapter 1: Orienting Yourself: The Use of Coordinates
Exercise
Question
Question: 2
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Point W has x-coordinate equal to -5. Can you predict the coordinates of point H which is on the line through W parallel to the y-axis? Which quadrants can H lie in?
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Answer
1
Point H lies directly above or below W on a line parallel to the y-axis. Use the x-coordinate of W to determine the coordinates of H.
Line through W parallel to the y-axis: x = -5.
Answer: H has coordinates (-5, y), where y can be any real number.
Reason: The line through W parallel to the y-axis has a constant x-coordinate of -5. Therefore, H also has x-coordinate -5, while its y-coordinate can be any real number.
2
Using the coordinates of H, determine which quadrants H can lie in.
Answer: H can lie in Quadrant II or Quadrant III. If y = 0, H lies on the x-axis and is not in any quadrant.
Reason: The x-coordinate of H is always negative. When y > 0, H lies in Quadrant II, and when y < 0, H lies in Quadrant III. If y = 0, H lies on the x-axis and is not in any quadrant.
