SAT-style Q: 4 distinct lines lie in plane such that....

[terra008]

here is the question:

Four distinct lines lie in a plane such that two lines are parallel, the other two are perpendicular to each other, and no three lines intersect at the same point. What is the maximum number of points of intersection of the four lines???

I have tried drawing it in all different ways but i can only get up to 4 intersecting points... how can i draw it where there are 5? thats the answer by the way.

 

[tkhunny]

Re: SAT STYLYE QUESTION

Are you counting the intersection of the perpendiculars with each other?

 

[Mrspi]

Re: SAT STYLYE QUESTION

here is the question:

Four distinct lines lie in a plane such that two lines are parallel, the other two are perpendicular to each other, and no three lines intersect at the same point. What is the maximum number of points of intersection of the four lines???

I have tried drawing it in all different ways but i can only get up to 4 intersecting points... how can i draw it where there are 5? thats the answer by the way.

Hmmm...did you remember to count the point where the two perpendicular lines intersect as ONE of the intersection points?