# Dilating a Line

Topic:
Dilation
In the applet below, line m is about to be dilated about point A.  The scale factor of the dilation is given by the parameter k.  (See below.)

1) What happens if the original line m passes through point A?       More specifically, what does the image of m look like if m passes through A?

2) What happens if the original line m does not pass through A?       What does the image of m look like if m does not pass through A?

3) Complete the following statement by filling in each blank with an appropriate word     to make a true statement:       A dilation maps a ______(a)_____ not passing through the center of the     dilation to another _____(b)______ that is _________(c)_______ to the original     _____(d)______.  If, however, the original _____(e)______ passes through the     _____(f)______ of the dilation, the image of this line is the ______(g)______ as    the original _____(h)_____.