XY is dilated by a scale factor of 1.3 with the origin as the center of dilation to create the image X'Y'. If the slope and length of XY are m and l respectively, what is the slope of X'Y'?
Hello,
Dilatations conserved parallelism
=> slope of X'Y'=m= slope of XY
Dilatations multiply length by the scale factor
==> |X'Y'|=1.3|XY-=1.3L
Answer: The slope of line X'Y'= m
Step-by-step explanation:
Given: XY is dilated by a scale factor of 1.3 with the origin as the center of dilation to create the image X'Y'.
The slope and length of XY are m and l respectively.
As the slope of parallel line are equal .
⇒ The slope of XY and X'Y' are equal.
Hence, the slope of X'Y' is m.