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Earn +20 ptsQ: Can two distinct points define a single line?
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Can two distinct points both exist on two distinct lines?
No. Two distinct points define a single line.
Can you always write the equation of a line if you know one point on the line?
You cannot define a line with a single point (a single point only defines itself). You need two points to define a line (and therefore to write the equation for it).
What is a distinct line segment?
It will have end points to be a distinct line segment
Can two points determine a plane?
No, 2 points define a line, 3 points define a plane.
Give a line and a point not on the line how many planes do they define?
They define one plane. A line is defined by two points, and it takes three points to define a plane, so two points on the line, and one more point not on the line equals one plane.
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