[color=#000000]In the applet below, line [i]m[/i] is about to be dilated about point [i]A.  [/i]The [i]scale factor[/i] of the dilation is given by the parameter [i]k[/i].  (See below.)  [i] [/i][/color][br][br][color=#980000]1) Show the image of line m under a dilation about point [/color][i]A[/i][color=#980000] with scale factor k.  [br]2) What does the image of this line look like?  ([/color][i]Be specific![/i][color=#980000])  [br][/color]It looks like a line and it is parallel [color=#980000][br]3) Set the slider k = 5 to start.  Then move the slider slowly to the left.  Observe.[br]    What happens to the image of m as k approaches zero?  [br][/color]It translates closer to the center of dilation [color=#980000][br]4) What happens to the image of the line if k = 1?[br][/color]It lies directly on the pre-image and is also congruent[color=#980000][br]5) What happens to the image of the line if k = 0?[br][/color]It lies directly on the center of dilation [color=#980000][br]6) What happens to the image of the line if k < 0?[/color][br]It reflects over the center of dilation [br]Change the locations of point [i]A[/i] and the original line [i]m[/i].  Repeat steps 1-5 again.  [br][br][color=#980000]6) Now, click the "Check This Out!" checkbox.  Interact with the new slider you see.  [br]    Carefully observe what happens here.  [/color][br][br][i][color=#1e84cc][b]Please answer the questions that appear below the applet as well !  [/b][/color][/i]

[b][color=#980000]Questions:  [/color][br][br][/b][color=#000000]1) What happens if the original line [i]m[/i] passes through point [i]A[/i]?  [br]    More specifically, what does the image of [i]m[/i] look like if [i]m[/i] passes through [i]A[/i]?[br]they lay right on top of eachother and are congruent  [br][br]2) What happens if the original line [i]m[/i] does [b]not[/b] pass through [i]A?  [br][/i]    What does the image of [i]m[/i] look like if [i]m[/i] does [b]not[/b] pass through [i]A[/i]?  [br]They stay parallel[br][br][br]3) Complete the following statement by filling in each blank with an appropriate word[br]    to make a true statement:  [/color][br][br]    [color=#0000ff][b]A dilation maps a line not passing through the center of the[br][br][/b]    [b]dilation to another line that is congruent to the original[br][br][/b]    [b]line.  If, however, the original line passes through the [br][br][/b]   [b]center of the dilation, the image of this line is the congruent as[br][br][/b]   [b]the original line.  [/b][/color]