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What else can I help you with?
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.
Do planes intersect at a point?
No, planes intersect at a line.
Why are points lines and planes sufficient?
From the concept of a point, one can define a line. Once the concept of a line is defined, one can define a plane. From the concept of a plane, any higher dimension geometrical object can be defined, e.g. a volume.
What is true of a line and point not on the line?
The line and the point define a plane.
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.)
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.
Do planes intersect at a point?
No, planes intersect at a line.
Do two planes intersect at a point or a line?
Two planes intersect at a line
Why are points lines and planes sufficient?
From the concept of a point, one can define a line. Once the concept of a line is defined, one can define a plane. From the concept of a plane, any higher dimension geometrical object can be defined, e.g. a volume.
What is true of a line and point not on the line?
The line and the point define a plane.
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 planes can contain a line and a point not on the line?
exactly 1
Is it true that three planes can intersect in only one point?
The intersection of three planes can be a plane (if they are coplanar), a line, or a point.
Why must there be at least two lines on any given plane?
A single line is not sufficient to define a plane. You can find a plane such that the line is in it. But if you then rotate the plane using that line as the axis of rotation, you can get an infinite number of planes such that the line belongs to each and every one of the planes.
Can Two planes can intersect in exactly one point?
The intersection of two planes is a line. (or a massive explosion...lol)
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).
How many planes are perpendicular to the line at one point?
one
