Rectangular Geometry Fundamentals
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Which of the points
\((2,7)\) or \((-8,1)\) or \((5,3)\)
is closest to the origin?
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What is the midpoint between \((2,7)\) and \((5,3)?\)
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Given a line segment with one endpoint at \((2,7)\)
and midpoint at \((-8,1),\)
what must the coordinates of the other endpoint be?
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Consider the circle with center \((-7,3)\) and radius \(4.\)
First sketch this circle, then answer these questions.
- What is an equation for the circle?
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What are the coordinates of the point(s)
where this circle intersects the \(y\)-axis?
- What is the area of this circle?
- What is the circumference of this circle?
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What are the \(x\)-coordinates of the points on the circle
\((x-2)^2 + (y+1)^2 = 25\) with \(y\)-coordinate \(3?\)