In the app above, Lisa's pic is said to be [b]dilated[/b] about [b][color=#ff00ff]point A[/color][/b] by a [b]scale factor [i]k[/i][/b]. What does a dilation seem to do to Lisa's original pic? What can it do? Describe.

In the app below, use the [b]line tool [icon]/images/ggb/toolbar/mode_join.png[/icon] [/b]to construct [math]\overline{BC}[/math] and [math]\overline{B'C'}[/math] Then move [color=#ff00ff][b][i]A[/i][/b][/color], [b][i]B[/i][/b], and [b][i]C[/i][/b] around a bit. Move the slider as well. What seems to be true about the two lines?

Use the tool(s) of GeoGebra to prove your assertion is true. Then explain how what you did shows your claim is indeed true.

So when we dilate a line about a point (with a scale factor [math]k\ne1[/math]) , its image is another line that [br]__________ the original (pre-image) line.

So when we dilate a line about a point with a scale factor [math]k=1[/math], its image is another line that [br]__________ the original (pre-image) line.