The intersection of three planes can be a plane (if they are coplanar), a line, or a point.
No, perpendicular planes intercept at only one point. Parallel planes do not intersect at all.
No, they can intersect at infinitely many points.
what of a triangle has three line segments that intersect only at their endpoints
Two planes that intersect do that at a line. neither a segment that has two endpoints or a ray that has one endpoint.
Assuming that the none of the lines are parallel, they can intersect (pairwise) at three points. Otherwise, the question is tautological.
No, 2 planes may only intersect at a line, a plane, or not at all. THREE planes may intersect at a point though...
No, perpendicular planes intercept at only one point. Parallel planes do not intersect at all.
No, they can intersect at infinitely many points.
When two planes intersect, they do so along a line, which is the locus of points common to both planes. This means they do not intersect at just one point but rather along an entire line. If the two planes are parallel, however, they will not intersect at all. Thus, the statement is incorrect; they intersect in a line, not a single point.
No, only three lines can intersect at a single point.
Tow planes can intersect eachother in either exactly one point or along a line. I'm new to this, however this answer is straight from my course litterature.
what of a triangle has three line segments that intersect only at their endpoints
In geometry, two planes intersect in a line. The only time this is not true is if the two planes are parallel to each other.
Two straight lines, whether they're in the same or different planes, must intersect at either one point or else at no points.
A point can be intersected by infinitely many lines. Two points intersect in only one line. Three points either intersect in a line or not at all. This is only considering two dimensions.
Noncoplanar lines cannot intersect because they exist in different planes and do not share a common point. However, they can be skew lines, which means they are neither parallel nor intersecting. In three-dimensional space, two lines are only able to intersect if they lie in the same plane. Therefore, it is geometrically impossible for two noncoplanar lines to intersect.
Any number of lines can intersect all at the same point. Think of a circle. Now think of all of its diameters.