Does Composition with Dilation and Translation matter?
Part A: Translate then Dilation
1. Use the vector tool to complete T(x + 4, y + -3), then D3.
Direction: to make the vector, select the origin and then the ordered pair (4, -3).
Use the select tool and select the vector.
Then press to label the vector u.
Input line Translate( A, u). Then repeat for B.
Use the segment tool.
2. Use the input line below the graph, copy the following
Dilate(A', 3), then select the new point and label A'.
Repeat for point B.
Use the segment tool for A"B".
For segment A''B'', point A'', & point B'', change the color to green.
Part B: Dilation then Translate
1. Use the input line below the graph, copy the following
Dilate(A, 3), then select the new point and label A'.
Repeat for point B.
Use the segment tool for A'B'.
For segment A'B', point A', & point B', change the color to green.
2. Use the vector tool , select the origin, and then the ordered pair (4, -3).
Use the select tool and select the vector.
Then press to label the vector u.
Input line Translate( A', u). Then repeat for B'.
Use the segment tool for A''B''.
Composition using Rotate with Dilation
Does the order matter? Why? Think of the Coordinate Rules from the Transformation Notes.