So what is Jessica Simpson doing on the Photo of the Week? Well, many folks consider her to be very attractive. But what is it about her that makes them think that? Believe it or not, it has something to do with mathematics. Your job is to find out about the mathematics of beauty and tell why some people are considered beautiful and others are not.

**Here are some hints:**

It has something to do with ratios.

Leonardo da Vinci studied it.

You find the ratio in the Fibonacci sequence.

Click the comment link to learn more about them.

This week the concept comes from what we are studying. Pay attention in class and you should figure it out.

This link will help you if you're having trouble. Be careful though, you may need to click through a few pages to find the answer.

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This week I'd like for you to hand in your answer on paper. Here are the questions:

**What would the word **__HOT__ look like after being rotated 180°?

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**What would it look like after being rotated 270°?**

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**What would it look like after being reflected across a vertical line just to its right?**

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**What would it look like after being reflected across a horizontal line below it?**

Your paper should have 4 answers on it. All you need to do is draw what each

**transformation** should look like.

I got this problem from a website called

Cynthia Lanius' Mathematics Lessons. Based upon the graph above, answer the following question with as many details as you can justify from the graph.

**Tell the Story...** If a hot tub is filled with water during AB, describe what happens in the rest of the segments (BC, CD, etc.).

Your answer should be in the form of a paragraph.

Check out the website for questions that you will help you.