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What are Quadrants in the Coordinate Plane?
Definition: Quadrants
Summary
- The x-axis is the horizontal line
- The y-axis is the vertical line
- The axes intersect to form four infinite areas, or quadrants
- Quadrant I is the top-right area
- Quadrant II is the top-left area
- Quadrant III is the bottom-left area
- Quadrant IV is the bottom-right area
- Points in Quadrant I will have positive x and y-coordinates
- Points in Quadrant II will have a negative x and positive y-coordinate
- Points in Quadrant II will have negative x and y-coordinates
- Points in Quadrant II will have a positive x and negative y-coordinate
- The open circles represent possible points along the axis

Notes
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- The x-axis is a horizontal line
- The y-axis is a vertical line that intersects the x-axis
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- The x and y-axes intersect to make four areas, so we call these areas "quadrants" since "quad" means four
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- The x and y-axes intersect to make four areas, so we call these areas "quadrants" since "quad" means four
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- Above the x-axis and to the right of the y-axis is the top-right area, or Quadrant I
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- Above the x-axis and to the left of the y-axis is the top-left area, or Quadrant II
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- Below the x-axis and to the left of the y-axis is the bottom-left area, or Quadrant III
- Below the x-axis and to the right of the y-axis is the bottom-right area, or Quadrant IV
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- Quadrant I = Quadrant 1
- Quadrant II = Quadrant 2
- Quadrant III = Quadrant 3
- Quadrant IV = Quadrant 4
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- The x and y-axes intersect to make four areas, so we call these areas "quadrants" since "quad" means four
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- We need to figure out what each quadrant represents
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- We need to figure out what each quadrant represents
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- Give the table 2 columns
- This will help us understand what each quadrant represents
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- The left column will be the quadrant number
- The right column will give the signs of any x and y-coordinates in that quadrant
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- The left column will be the quadrant number
- The right column will give the signs of any x and y-coordinates in that quadrant
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- A point in the coordinate plane has an x and y-coordinate pair
- Above the x-axis and to the right of the y-axis is Quadrant I
- Quadrant I = Quadrant 1
- An x-coordinate is positive if it is to the right of the y-axis
- A y-coordinate is positive if it is above of the x-axis
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- A point in the coordinate plane has an x and y-coordinate pair
- Above the x-axis and to the left of the y-axis is Quadrant II
- Quadrant II = Quadrant 2
- A y-coordinate is positive if it is above of the x-axis
- An x-coordinate is negative if it is to the left of the y-axis
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- A point in the coordinate plane has an x and y-coordinate pair
- Below the x-axis and to the left of the y-axis is Quadrant III
- Quadrant III = Quadrant 3
- An x-coordinate is negative if it is to the left of the y-axis
- A y-coordinate is negative if it is below of the x-axis
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- A point in the coordinate plane has an x and y-coordinate pair
- Below the x-axis and to the right of the y-axis is Quadrant IV
- Quadrant IV = Quadrant 4
- An x-coordinate is positive if it is to the right of the y-axis
- A y-coordinate is negative if it is below of the x-axis
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- Just knowing the signs of your coordinates is all you need in order to figure out what quadrant your point is in
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- The x-coordinate is the first number in an ordered pair
- The "x=0" line and the y-axis are the same thing
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- The y-coordinate is the second number in an ordered pair
- The "y=0" line and the x-axis are the same thing
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- The x-coordinate is the first number in an ordered pair
- The y-coordinate is the second number in an ordered pair
- The origin, (0,0), is the intersection point of the x and y-axes
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- Coordinates are just the two numbers that tell us where a point is located
- Just knowing the signs of your coordinates is all you need in order to figure out what quadrant your point is in
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- The origin, (0,0), is the intersection point of the x and y-axes
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- If only one coordinate is zero, the point will be located on one of the axes
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- Just knowing the signs of your coordinates is all you need in order to figure out what quadrant your point is in
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- Just knowing the signs of your coordinates is all you need in order to figure out what quadrant your point is in