College Discussion - View Single Post - October 2001 Test Expl: Section 2, #11, 22, 23

optimizerdad · 08-26-2005, 01:53 PM

23. Actually, I think you'd get 7 regions. The third line drawn would create 3 new regions, not 2.

One way to visualize this is to think of a large equilateral triangle ABC, with a small equilateral triangle DEF drawn within it. Both triangles have the same center. Now extend each side of the interior triangle till the line hits the outer triangle (i.e. extend DE, EF, FD). The outer triangle will now be split into 7 distinct regions. If you like, you can now erase the outer triangle; the #distinct regions stays at 7.

08-26-2005, 01:53 PM	#4
optimizerdad Member Join Date: Aug 2004 Location: Chicago Threads: 17 Posts: 570	23. Actually, I think you'd get 7 regions. The third line drawn would create 3 new regions, not 2. One way to visualize this is to think of a large equilateral triangle ABC, with a small equilateral triangle DEF drawn within it. Both triangles have the same center. Now extend each side of the interior triangle till the line hits the outer triangle (i.e. extend DE, EF, FD). The outer triangle will now be split into 7 distinct regions. If you like, you can now erase the outer triangle; the #distinct regions stays at 7.