Given: line segment AB is 10 inches long. Find the length of A'B' if AB is dilated to form A'B' with a scale factor of 1 2 . A) 1 2 inches B) 5 inches C) 10 inches D) 20 inches
Accepted Solution
A:
ANSWER
[tex]|A'B'| = 5 \: units[/tex]
EXPLANATION
The formula for calculating the scale factor is
[tex]k = \frac{image \: length}{object \: length} [/tex] Or
[tex]k = \frac{ |A'B'| }{ |AB|} [/tex]
Where k is the scale factor.
We were given [tex] |A'B'|=10[/tex]
This is the image length.
We substitute the scale factor and the image length in to the formula to get,
[tex] \frac{1}{2} = \frac{ |A'B'| }{ 10} [/tex] Multiply both sides by 10 to get,