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Given some coordinates, recognise which quadrant a point lies in, or which axis a point lies upon.

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You can think of a pair of coordinates as a direction to the desired point, starting from the origin.

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The first part of the coordinates tells you how far to move along the horizontal $\\,x$-axis. Positive numbers are on the right and negative numbers are on the left.

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The second part of the coordinates tells you how far to move along the vertical $\\,y$-axis. Positive numbers are above the origin and negative numbers are below.

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a)

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The point lies in the:

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$A$ quadrant when the first part is positive and the second part is also positive.

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$B$ quadrant when the first part is negative and the second part is positive.

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$C$ quadrant when the first part is negative and the second part is also negative.

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$D$ quadrant when the first part is positive and the second part is negative.

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b)

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The point lies on the:

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$X$ axis when the $y$ coordinate of the point is zero.

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$Y$ axis when the $x$ coordinate of the point is zero.

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Origin when both the $x$ and $y$ coordinates are zero

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Use the diagram below to identify which quadrant each set of coordinates lies in.

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Which quadrants do the following points lie in?

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$(\\var{a1},\\var{a2})$

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$(\\var{b1},-\\var{b2})$

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$(-\\var{c1},-\\var{c2})$

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$(-\\var{d1},\\var{d2})$

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A

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B

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C

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D

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On which axis do each of the following points lie?

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$(\\var{e1},0)$

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$(0,0)$

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$(0,\\var{f1})$

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$X$

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$Y$

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Both
(origin)

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