7.11. Dilation http://www.ck12.org
If the scale factor is 3 andQis 6 units away fromP, thenQ′is going to be 6× 3 =18 units away fromP. Because
we are only dilating apoint, the dilation will be collinear with the original and center.
Example B
Using the picture above, change the scale factor to^13. FindQ′′.
Now the scale factor is^13 , soQ′′is going to be^13 the distance away fromPasQis. In other words,Q′′is going to be
6 ×^13 =2 units away fromP.Q′′will also be collinear withQand center.
Example C
KLMNis a rectangle with length 12 and width 8. If the center of dilation isKwith a scale factor of 2, drawK′L′M′N′.
IfKis the center of dilation, thenKandK′will be the same point. From there,L′will be 8 units aboveLandN′will
be 12 units to the right ofN.