by Cynthia Lanius

#### Pinwheel Directions-Rotations

- With the
**circle** tool, construct a circle.
- With the
**segment** tool, construct two radii and a chord, forming
an acute **triangle**.
- With the
**select** tool, select the three vertices of the
triangle. (Hold the shift key.) From **Construct Menu**, construct the
**polygon interior**.
- Select the center of the circle. From the Transform Menu,
**mark
center**.
- Select the center
**and** the triangle. From the Transform Menu,
**rotate**. At the rotate window, rotate by 60. OK.
- From the Transform Menu, rotate again by 60. until there are
**6
triangles**.
- Make sure a triangle is selected and from Display Menu click on a color.
- Repeat step 7 until all the triangles are colored different colors.
- Select
**both** the circle and one of the vertices of the original
triangle (not the center of the circle).
- From the Edit Menu, select ACTION Button, then
**animation**.
Then click animate at the animation window. (One way or bi-directional is
something you can play with later.)
- Now
**double click on the animate button** that should have
appeared on the sketch.

#### Translate the Pinwheels Horizontally

- Select the whole figure by drawing a box around it.
- From the Transform Menu choose
**translate**. From the Translate
Window choose Rectangular Vector and Horizontal Component 2 inches and
Vertical Component 0 inches. OK. (Adjust # inches depending on the size of
your figure).
- Double click on the Animate Button.

#### Reflect the Pinwheels

- With the
**segment** tool, construct a horizontal line below
the figures.
- With the line selected, go to Transform Menu and mark
**mirror**.
- Select both figures by drawing a box around them; select the line
also; (holding the Shift key) and then from the Transform menu choose
**reflect**.
- Double click the animate button again. Everything's turning. Hide
any lines you don't like.

#### Questions to Explore

- How will the figure differ if you rotate the triangle at
**45
degrees** instead of 60? How about at **30**?
- Investigate rotating a
**quadrilateral** to form your pinwheel
rather than a triangle.
- Try a dilation on one of the pinwheels (Also under the Transform Menu).