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The Cartesian coordinate plane, specify locations by a pair of coordinates that indicate the magnitude in perpendicular, x, and y directions
The correct responses are;
- Part A: The starting point is in the second quadrant and the finishing point is in the fourth quadrant.
- Part B: The starting point and the check point are on different quadrant. Both points are on the same horizontal line.
Reasons:
The location of the start point of the race = (-5.3, 1)
Location of the finishing point = (1, -5.3)
Part A: The signs of the <em>x</em> and <em>y</em>-values in the quadrants are;
The coordinates of the starting point is (-5.3, 1), therefore, given that the x-
coordinate is negative and the y-coordinate is positive, the quadrant of the
starting point is quadrant II (the second quadrant).
- <u>The quadrant of the starting point is the second quadrant</u>.
The coordinates of the finishing point is (1, -5.3), the x-value is positive and
the y-value is negative, which indicates that the quadrant of the finishing
point is quadrant IV (the fourth quadrant).
- <u>The quadrant of the finishing point is the fourth quadrant</u>.
Part B: The location of the checkpoint is; (5.3, 1)
The difference is that the x-value of the checkpoint is positive while the x-value of the starting point is negative, and they are therefore on different quadrants.
The similarity is that, the magnitude of the <em>x</em>, and <em>y</em> values of the coordinates of the check point and the starting point are the same. Therefore, the checkpoint and the starting point are on <u>the same horizontal line</u>.
Learn more about the Cartesian coordinate plane here: