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Can four lines intersect 6 points?

Updated: 4/28/2022
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11y ago

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Yes.

Draw a triangle without its base line. From both the base vertices draw a line to the opposite side(somewhere in the middle). The four lines so created will meet in 6 points.

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Q: Can four lines intersect 6 points?
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Related questions

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.


What is the greatest number of intersection points possible with just 4 lines?

The greatest number of intersection points with just four lines is 6.


What is the greatest number of points when 8 lines intersect?

28 points. Each added line n intersects (n-1) other lines. 7 + 6 + 5 + 4 + 3 + 2 +1 = 28 The formula is P = n(n-1)/2, which here is 8x7/2 = 28 It is possible to have any number of points between 28 and 1 if multiple lines intersect at the same point.


Can four lines have only two intersection points?

No, four lines can can have 6 total intersections. They would be Ab, Ac, Ad, Bc, Bd, and Cd


How do you make 4 lines and have them intersect 6 times?

First you draw a big multiplication sign, and then you draw another line vertical to the right of the sign (so it intercects both lines), and then you draw the final line horizontally above the sign (so it intercects all three lines), and you have 6 points of intercection :)


What is the greatest number of intersection points possible with just 5 lines?

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...


Are in the same plane but do not intersect?

The only lines that are in the same plane that do not intersect are: 1. Lines of finite length (eg 1 6" line on the floor at one end of the room and another 8" line at the other end) 2. Parallel lines


How many lines passes through 4 points?

there are 6 lines can pass through 4 noncollinear points.


How many parallelograms are formed when a set of 5 parallel lines intersect a set of 4 parallel lines?

This one is much more straightforward. There are 5C2 = 10 ways to choose two parallel lines from the set of five. There are 4C2 = 6 ways to choose two parallelograms from a set of four. Any parallelogram is uniquely determined by one pair of lines from the five, and one pair of lines from the four. Thus, the number of possible parallelograms is(5C2)*(4C2) = (10)*(6) = 60


How many points do 4 intersecting lines have?

If no pair of lines is parallel and if each pairwise intersection is distinct, there will be 6 points of intersection.


If points M N O and P are arranged in such a way that three of them line how many lines are there?

The three points on a line form ONE line; the fourth point forms THREE additional lines, one with each of the first three points. So, four in total.


Which type of lines pass through points 4 6 2 3 and 6 5 3 3 on a grid?

The lines that pass through points 4 -6 2 -3 and 6 5 3 3 on a grid are the lines y=x.