Question

The length of ​ AB¯¯¯¯¯ ​ is 10 inches. A dilation with a scale factor of 25 is applied. What is the length of the image of ​ AB¯¯¯¯¯ ​ ?

Answer 1

The answer is 4. 

I hope this helps. :)

Answer 2

Answer:

length of image of AB is 4 inches.

Step-by-step explanation:

Scale factor(k) is defined as the ratio of  image to the pre-image.

i.e,

$k = \frac{\text{Image}}{\text{Pre-image}}$

as per the statement:

The length of ​ AB ​ is 10 inches. A dilation with a scale factor of $\frac{2}{5}$

⇒ $k= \frac{2}{5} =0.4$ and Length of pre-image AB = 10 inches.

by definition of scale factor:

$\text{length of image AB} = k \cdot \text{Length of Pre-image AB}$

Substitute the given values we have;

$\text{length of image AB} = 0.4 \cdot 10$

Simplify:

$\text{length of image AB} =4$ inches.

Therefore, the length of image AB is 4 inches.