The only way to draw a plane that captures EXACTLY two edges is by having it run through edges that are diagonally opposite. Trying to draw a plane that captures any other pair results in either capturing more edges (if you pick lines that intersect, or are parallel to each other, you wind up drawing a plane that captures the entire edge of the cube, which obviously contains all 4 edges on that side), and if you pick two edges that are skew, there is no plane that will capture them both. So, how many pairs of diagonally opposite edges are there? Well, there are 12 edges total, so 6 pairs.
If the points are collinear, that means there's only one straight line. An infinite number of different planes can be drawn that contain one straight line.
Between 2 distinct points, there are an infinite number of planes that can be drawn in 3 dimensions
just one
it is 5
that is impossible. if they aren't parrallel, and they're rays they have to intersect at some point. This is because rays spread at both ends. The above answer is only correct if the rays on drawn on the same plane or if they are drawn on convergent (intersecting) planes, so the correct answer is the two rays must be drawn on separate planes that are not convergent, since all non-parallel lines on the same plane, or on convergent planes, will eventually intersect. If they are drawn in 3 dimensions than you can avoid them intersecting. Perhaps the questions is not specific enough?
If the points are collinear, that means there's only one straight line. An infinite number of different planes can be drawn that contain one straight line.
Between 2 distinct points, there are an infinite number of planes that can be drawn in 3 dimensions
The answer will depend on the relative positions of the points.
just one
it is 5
that is impossible. if they aren't parrallel, and they're rays they have to intersect at some point. This is because rays spread at both ends. The above answer is only correct if the rays on drawn on the same plane or if they are drawn on convergent (intersecting) planes, so the correct answer is the two rays must be drawn on separate planes that are not convergent, since all non-parallel lines on the same plane, or on convergent planes, will eventually intersect. If they are drawn in 3 dimensions than you can avoid them intersecting. Perhaps the questions is not specific enough?
10 lines, but only if no three of them are collinear.
No, not in plane (Euclidean) geometry.
prism
false
right (apex)
A concave polygon.