[i]Leaving point A at (0, 2), move point B to (4, 3) and move the center of dilation, point D, so that is is on line segment AB at (2, 3). Adjust the scale factor, k, to 0.5, 2, 3, and 4.[/i][br][b][br]What do you notice about the length and location of A'B' compared to AB?[/b]
AB has a length of 4 units.[br][br][list][*]When k=0.5, A'B' is 2 units long, or HALF the length of AB[/*][*]When k=2, A'B' is 8 units long, or DOUBLE the length of AB[/*][*]When k=3, A'B' is 12 units long, or TRIPLE the length of AB[/*][*]When k=4, A'B' is 16 units long, or FOUR times the length of AB[/*][/list][br]The dilated line A'B' is the same line as AB, just smaller or larger.