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Given plane A and point C which is not on plane A How many lines can be drawn through point C that are perpendicular to plane A?
400
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.
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.
How many points are you a intersection of a line and a plane?
There are two possible answers; if the line is crossing the plane at an angle, then the line and the plane only intersect at one point. However, if the line is part of the plane, then the entire line intersects with the plane, and there are an infinite number of intersecting points.
How many perpendiculars can we draw to a line from a given point outside the line?
In a Euclidean plane, only one.
How many line can be drawn through two point in a plane?
One.
If Point p is on line m then how many plane are perpendicular to line m and also passes through point p?
1
Lines on a hyperbolic plane are considered to be?
Hyperbolic geometry is a beautiful example of non-Euclidean geometry. One feature of Euclidean geometry is the parallel postulate. This says that give a line and a point not on that line, there is exactly one line going through the point which is parallel to the line. (That is to say, that does NOT intersect the line) This does not hold in the hyperbolic plane where we can have many lines through a point parallel to a line. But then we must wonder, what do lines look like in the hyperbolic plane? Lines in the hyperbolic plane will either appear as lines perpendicular to the edge of the half-plane or as circles whose centers lie on the edge of the half-plane
Given plane A and point C which is not on plane A How many lines can be drawn through point C that are perpendicular to plane A?
400
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.
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.
How many points are you a intersection of a line and a plane?
There are two possible answers; if the line is crossing the plane at an angle, then the line and the plane only intersect at one point. However, if the line is part of the plane, then the entire line intersects with the plane, and there are an infinite number of intersecting points.
How many perpendicular can we draw to a line from a given point outside the line?
In a Euclidean plane, only one.
How many perpendiculars can we draw to a line from a given point outside the line?
In a Euclidean plane, only one.
What Point S is not on line k. How many different planes contain both point S and line k?
There is only one such plane.
How many lines pass through 2 distinct point in a plane?
one
How many planes can pass through one point?
I would say that there are an infinite number of planes that can pass through a pair of skew lines. In order to find the equation of a plane, all you need is three points. take two points off of one line and one point off of the other line and you should be able to derive the equation of a plane. Since the number of points on a line is infinite, an infinite number of planes can be derived.
