The length of JK¯¯¯¯¯ is 12 units. What is the length of the image of the line segment after a dilation with a scale factor of 2/5? Please help fast

Verified Answer :

Multiply the scale factor with the length of segment JK

12(2/5) = (12/1)(2/5) = (122)/(15) = 24/5 = 4.8

So after applying the dilation, JK shrinks to 4.8 units

Answer: 4.8 units


Step-by-step explanation:

Given: The length of \(\overline{JK}\) is 12 units.

we know that to find the length of the image of the line segment after a dilation with a scale factor of k, we  multiply the length of line by k. we get

The length of the image of the line segment after a dilation with a scale factor of 2/5=\(\frac{2}{5}\times12=\frac{24}{5}=4.8 units\)

Hence, The length of the image of the line segment after a dilation with a scale factor of 2/5=4.8 units