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How many different planes can be drawn in a cube such that each contains exactly two edges of the cube?
Sirlanlet
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.
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∙ 10y ago
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How many planes can be drawn when three distinct points are collinear?
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.
How many planes can be drawn between two district points?
Between 2 distinct points, there are an infinite number of planes that can be drawn in 3 dimensions
How many planes can be drawn through any three noncollinear points in a plane?
just one
A bag contains 3 red 4 white and 5 blue marbles When two marbles are drawn simultaneously what is the probability that they are different colors?
it is 5
How do you draw two rays that are not parallel to each other and never intersects?
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?
How many planes can be drawn when three distinct points are collinear?
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.
How many planes can be drawn between two district points?
Between 2 distinct points, there are an infinite number of planes that can be drawn in 3 dimensions
How many different lines can be drawn if each line contains abcde at least two of these points?
The answer will depend on the relative positions of the points.
How many planes can be drawn through any three noncollinear points in a plane?
just one
A bag contains 3 red 4 white and 5 blue marbles When two marbles are drawn simultaneously what is the probability that they are different colors?
it is 5
How do you draw two rays that are not parallel to each other and never intersects?
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?
How many different lines can be drawn if each line contains at least two of these points a b c d e?
10 lines, but only if no three of them are collinear.
What is a 3 dimensional geometric figure whose cross section is constant in planes drawn perpendicular to its axis called?
prism
Can a triangle be drawn with exactly one acute angle?
No, not in plane (Euclidean) geometry.
Since a regular hexagon contains no circles it can be drawn using only a straightedge?
false
An angle that measures exactly 90 is drawn with a special symbol and is called an angle?
right (apex)
If points A B and C all lie in a straight line but the other points are not on the line how many different lines can be drawn if each line contains at least two points?
2 lines, I believe.
