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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

1. Postulates and Paragraph Proofs

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Exercise 54 Page 283

Use the lines from a previous exercise, insert them in a circle and count the number of regions.

E

Practice makes perfect

In a previous exercise, we have been showed that in how many ways that three distinct lines can intersect. Let's insert these lines in a circle and find the greatest number of regions.

1 Point of Intersection

2 Points of Intersection

3 Points of Intersection

As we can see, when there are 3 points of intersection, we have 7 regions. Thus, the greatest number of regions is 7 which corresponds to option E.

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Exercises p.279-283