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There are 2 reasons to use a cooridnate plane. The coordinate plane provides an accurate referance for determining parallel lines and other characteristics. For example, if one line runs along the x axis and one along the y, you can conclude they are perpendicular. Also, the plane allows people to draw an accurate figure based on a few numbers instead of having to specify every angle measure and every side length.

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Q: Why is the coordinate plane a useful tool in geometric shapes and transformation?
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