A line that does not lie within a plane and intersects the plane does so at one point.
A line that lies within a plane intersects the plane at all points.
7
Well...lines go in one direction forever,but LINE SEGMENTS are a whole different story.With line segments you can make as much intersections as you want but with lines,only 1.
Maximum 12 intersections are there! You can simply use the formula: No. of intersections = n(n-1)/2 [where 'n' is the number of lines] This is derived as each new line can intersect (at most) all the previously drawn lines. There if there is: 1 line => 0 intersections 2 lines => 1 intersection 3 lines => 3 intersections [1 that was there + 2 by the new line can intersect both the previous lines.] 4 lines => 6 intersections [3 that were already there + 3 because the new line can intersect all the 3 lines that were present previously.]
10. Each additional line can only intersect each of the previous lines once, so for two lines, there can be only 1 intersection, for three there can be up to 3 intersections (1+2), for four there can be up to 6 intersections (3+3), and for five there can be up to 10 (6+4). This trend continues as you increase the number of lines: 6 lines: 15 possible intersections (10+5) 7 lines: 21 possible intersections (15+6) 8 lines: 28 possible intersections (21+7) and so on...
Parallel lines are two 1-dimensional objects that do not meet. Parallel planes are two 2-dimensional objects that do not meet.
7
Well...lines go in one direction forever,but LINE SEGMENTS are a whole different story.With line segments you can make as much intersections as you want but with lines,only 1.
Lines of symmetry are 2 dimensional. Planes of symmetry are 3D.
Intersecting lines perform intersections.
Maximum 12 intersections are there! You can simply use the formula: No. of intersections = n(n-1)/2 [where 'n' is the number of lines] This is derived as each new line can intersect (at most) all the previously drawn lines. There if there is: 1 line => 0 intersections 2 lines => 1 intersection 3 lines => 3 intersections [1 that was there + 2 by the new line can intersect both the previous lines.] 4 lines => 6 intersections [3 that were already there + 3 because the new line can intersect all the 3 lines that were present previously.]
10. Each additional line can only intersect each of the previous lines once, so for two lines, there can be only 1 intersection, for three there can be up to 3 intersections (1+2), for four there can be up to 6 intersections (3+3), and for five there can be up to 10 (6+4). This trend continues as you increase the number of lines: 6 lines: 15 possible intersections (10+5) 7 lines: 21 possible intersections (15+6) 8 lines: 28 possible intersections (21+7) and so on...
Parallel lines are two 1-dimensional objects that do not meet. Parallel planes are two 2-dimensional objects that do not meet.
Parallel lines (as opposed to planes) will not divided a sphere into portions.
Perpendicular lines form right angles at their intersections.
There can be a maximum of 15 intersections. With two non-parallel lines, there will be one intersection, a third (non-parallel) line can be drawn to cut the other two, and that makes 2 more intersections for a total of 3. You can actually draw this out, and with a fourth, fifth and sixth line, you will create a maximum of 3, 4 and 5 more intersections (respectively), and this will bring your total to fifteentotal intersections for the six lines. You can get each successive line to cut all of the other existing lines if you draw them in a prejudicial (maximized) way.
true
Intersecting lines are, lines that cross over each other just like intersections on the road, which are cross sections from each end.