Here is question from a practice test that i cant quite figure:

Which of the following lists the # of points at which a circle can intersect a triange?

1) 2 and 6 only
2) 2,4,6
3)1.2.3.6
4)1,2,3,4,6
5) 1,2,3,4,5,6

answer is (5)

Thanks!

Remember that if a line is tangent to a circle, it intersects at exactly one point.
Thus, a triangle could have one side tangent to a circle, and this represents intersecting at a single point. This rules out answer choices A and B.
Answer choices C, D, and E all include 2, 3, and 6.
This means we need to see whether it can intersect at 4 or 5 points.
I'll try to attach a file that shows how these two can work...



Veritas Help
(If the file attachment doesn't work, then email me at help@veritasprep with "attn: Val" in the subject line, and I can email it directly to you. )