Question

1. there are four lines

2. Any two distinct lines must intersect at one point

3. Each point is on exactly 2 lines

How can I draw this figure?

Answer 1

Answer on Question#43079-Math-Geometry

Question

1. There are four lines

2. Any two distinct lines must intersect at one point

3. Each point is on exactly 2 lines

How can I draw this figure?

Answer

1. There are 4 lines $a, b, c$ and $d$ and 6 intersection points $A, B, C, D, E$ and $F$ .

2. Lines $a$ and $b$ intersect at one point $A$ ; Lines $a$ and $c$ intersect at one point $D$ ; Lines $a$ and $d$ intersect at one point $F$ ; Lines $b$ and $c$ intersect at one point $C$ ; Lines $b$ and $d$ intersect at one point $E$ ; Lines $c$ and $d$ intersect at one point $B$ .

3. Point A is exactly on two lines $a$ and $b$ ; Point B is exactly on two lines $c$ and $d$ ; Point C is exactly on two lines $b$ and $c$ ; Point D is exactly on two lines $a$ and $c$ ; Point E is exactly on two lines $b$ and $d$ ; Point F is exactly on two lines $a$ and $d$ .

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