# Part 1

Follow the directions for Part 1 before moving on to Parts 2 or 3. Be sure to answer all the questions.

## Step 1

Make sure that all slider are set to 0. Move slider 'r' from r=0 to r=4. Click and hold point E, drag it around point C and observe the results.

## Question 1

A. How far is every point you plotted away from the center of the figure? B. What shape does this create?

## Step 2

Now move slider 'r' from r=4 to r=2. Click and hold point E, drag it around point C and observe the results.

## Question 2

A. What happened to the length of the segment of 'r1'? B. What happened to the size of the figure?

## Step 3

Now move slider 'r' from r=2 to r=5. Click and hold point E, drag it around C and observe the results.

## Question 3

A. What happened to the length of the segment 'r1'? B. What happened to the size of the new figure? C. Do you notice a relationship between the change in length of the segment of 'r1' and the change in the size of the figure?

## Question 4

Which of the following best describes the position of segment 'r1' in the figure?

Check all that apply

## Step 4

Click the refresh button in the right hand corner of the screen (this should clear any figures you created in part 1 thus far). Move slider 'h' from h=0 to h=1, slider 'k' from k=0 to k=1, and slider 'r' to r=0 to r=2. Click and hold point E, drag it around point C and observe the results.

## Question 5

A. What effect does the change in sliders have on the coordinates of point C? B. What relation does point C have to the figure? (Where in the figure does it lie?)

## Step 5

Now manipulate slider 'r', 'h', and 'k' to change the size and position of the figure. Click and hold point E, drag it around point C and observe the results.

## Question 6

What factors does the size of the figure depend on? (Select all that apply)

Check all that apply

## Question 7

What factors does the position of the figure depend on? (Select all that apply)

Check all that apply
Once you have answered all the questions in Part 1, you may move on to Part 2.