Exploring Transformations
Medallions
There are many examples of beadwork, one of which is a medallion. A beaded medallion is a circular disc with applied beadwork decoration. The nine-point stars below, used as the preimage and image, are an example of a design that could be found on a medallion.
Part A: Moving Point Z
Input different -values and observe what happens.
Use the move tool, 
, to move point and observe what happens. Record your observations on your handout. As you adjust point , you might need to zoom in or out or move the grid to see the figure. Click and drag the grid to adjust what you see or use the Zoom tool, 
, and select Zoom In/Out. You can always click the refresh arrows in the top-right corner to reset to the original graph.
, to move point and observe what happens. Record your observations on your handout. As you adjust point , you might need to zoom in or out or move the grid to see the figure. Click and drag the grid to adjust what you see or use the Zoom tool, , and select Zoom In/Out. You can always click the refresh arrows in the top-right corner to reset to the original graph.
Part B: Moving the Preimage
Input different -values and observe what happens.
Use the move tool, , to move the preimage by dragging the point labeled "preimage" and observe what happens. Record your observations on your handout. As you adjust the position of the preimage, you might need to zoom in or out or move the grid to see the figure. Click and drag the grid to adjust what you see or use the Zoom tool, , and select Zoom In/Out. You can always click the refresh arrows in the top-right corner to reset to the original graph.
, to move the preimage by dragging the point labeled "preimage" and observe what happens. Record your observations on your handout. As you adjust the position of the preimage, you might need to zoom in or out or move the grid to see the figure. Click and drag the grid to adjust what you see or use the Zoom tool, , and select Zoom In/Out. You can always click the refresh arrows in the top-right corner to reset to the original graph.
Part C
Draw a line through each corresponding vertices by using the Line tool, 
, and clicking the two corresponding points. Repeat this for all pairs of vertices.
Remember to select the Move tool, , to unselect and line tool and be able to move the grid.
, and clicking the two corresponding points. Repeat this for all pairs of vertices.
Remember to select the Move tool, , to unselect and line tool and be able to move the grid.Part D
That point of intersection from Part C is the serving the same role as point from Part A. Use the given lengths of and to find the length of . Similarly, find and .