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How many common points for intersection of four lines?
- If you're working on a single sheet of paper (2-D), then you can draw four lines that intersect in 1, 2, 3, 4, 5, or 6 points. - If in 3-D space, then you can also draw four lines that don't intersect at all.
How many lines are determined by coplanar points a b c and d?
4*3/2 = 6 lines.
How many lines of symmerty of squre?
4, 2 diagonal through the corners, 2 through the mid points of the sides
Which type of lines pass through points (-2 2) (2 2) and (-2 -2) (2 -2) on a grid?
They are opposite parallel lines with points of (-2, 2) (2, 2) and (-2, -2) (2, -2)
How many straight lines can be formed by connecting any 2 of the 6 non-collinear points?
15 Consider one of the points. Call it point A. You can draw one line containing A through each of the other five lines (i.e., there are five lines that contain both A and another of the five points). Now, consider another of the points -- call it B. Excluiding the line that contains A and B, there are four lines that can be drawn containing B and one of the other four points. Continue this process for all the points. You get 5+4+3+2+1=15 lines. In general, if you have n non-collinear points, there are n+(n-1)+(n-2)+...+2+1=n*(n+1)/2 lines that can be drawn through any two of those points.
