In the applet below, construct lines through corresponding points of the image and pre-image (i.e. A and A'). [br][br]Use the slider to change the scale factor of the dilation. [br][br]Consider the following questions: [br][br]1) What do you notice? Were you surprised by this? Why or why not?[br][br][br]2) What is point E as it relates to the diagram? What convinced you of this? [br][br][br]3) Move Point E to coincide with the vertices of the quadrilateral. What do you notice?[br][br][br]4) Measure the line segment [math]\overline{EA}[/math] and [math]\overline{EA'}[/math]. Use the slider to change the Scale factor. What is the relationship between the two segments? Can you write an equation defining the relationship?