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The coordinates of an ordered pair have opposite signs. In which quadrant(s) must the ordered pair lie? Explain.Asked by Lila England
The coordinates of an ordered pair her opposite signs. In which quadrant is the ordered pair lie? Explain.
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If the coordinates of an ordered pair have opposite signs, it means that one coordinate is positive and the other is negative.
In the first quadrant, both coordinates are positive.
In the second quadrant, the x-coordinate is negative and the y-coordinate is positive.
In the third quadrant, both coordinates are negative.
In the fourth quadrant, the x-coordinate is positive and the y-coordinate is negative.
Therefore, the ordered pair with opposite signs will lie in either the second or fourth quadrant. This is because one coordinate has to be positive (in the first or fourth quadrant), and the other coordinate has to be negative (in the second or third quadrant).
In the first quadrant, both coordinates are positive.
In the second quadrant, the x-coordinate is negative and the y-coordinate is positive.
In the third quadrant, both coordinates are negative.
In the fourth quadrant, the x-coordinate is positive and the y-coordinate is negative.
Therefore, the ordered pair with opposite signs will lie in either the second or fourth quadrant. This is because one coordinate has to be positive (in the first or fourth quadrant), and the other coordinate has to be negative (in the second or third quadrant).
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