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The intersection of three planes can be a plane (if they are coplanar), a line, or a point.

Q: Is it true that three planes can intersect in only one point?

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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.

Related questions

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.

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.

Any number of lines can intersect all at the same point. Think of a circle. Now think of all of its diameters.

Such a point is called the orthocenter. Even the fact that all three altitudes intersect at a point is quite interesting because only two lines are guaranteed to intersect at a point, but we have three.

Two planes that intersect do that at a line. neither a segment that has two endpoints or a ray that has one endpoint.