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Earn +20 ptsQ: How many planes are perpendicular to the line at one point?
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How many planes can intersect a line at a given point?
an infinite number; no limit
How many planes can contain a line and a point on the line?
Anything that contains the line must contain every point on the line, so "a point on the line" doesn't give us any more information. You're just asking how many planes can contain the line. Now imagine setting a wood panel down on a tight-rope. How many different ways can it set there before it falls off ? A lot, right ? An infinite number of planes can all contain your line. (And all of its points.)
How many lines can be drawn perpendicular to a given like through a point not on the given line?
In Geometry
Do a line and a point not on that line lie in one and only one plane?
Yes because a line can lie in many planes so one we add one point not on that line, we define a unique plane.
How many acute triangles are in a perpendicular bisector?
A "perpendicular bisector" is a line. There are no triangles of any kind in a line.
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