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How many planes can contain a line and a point not on the line?
exactly 1
Which figure could be the intersection of two planes a line a ray a point or segment?
A line or a ray - depending on whether the planes are finite or infinite.
Given a line and a point on that line how many different planes contain both of them?
1
Given a line and a point not on that line how many different planes contain both of them?
1
Can two planes intersect in a ray or a segment explain why?
In 3d space, two planes will always intersect at a line...unless of course they are the same plane (they coincide). Because planes are infinite in both directions, there is no end point (as in a ray or segment). So, your answer is neither, planes intersect at a line.
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.)
Can a ray be a line segment?
No. A ray is infinite on one side and ends at a point at the other. A line segment ends in two points. A ray can contain a line segment, as the distance between any two given points on the ray is a line segment.
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 possibilities are there in point-segment relations?
Probably three:The point is not on the segment nor the corresponding line,The point is in the line segment,The point is not in the line segment as given but would be if the segment were extended.
Can two planes intercept in a segment?
NO, but they can intercpet in a line which is not the same as a segment of course.
Can two planes intersect in a ray or segment?
Two planes that intersect do that at a line. neither a segment that has two endpoints or a ray that has one endpoint.
The shortest segment from a point to a line?
. . . is the segment perpendicular to the line.
