Question

question 2 of 40
determine the scale factor for $\triangle abc$ to $\triangle abc$.
a. 2
b. $\frac{1}{2}$
c. 20
d. 10

Explanation:

Step1: Identify corresponding sides

The corresponding sides are $AC = 10$ ft and $A'C' = 20$ ft.

Step2: Calculate scale factor

Scale factor = $\frac{\text{Length of image side}}{\text{Length of pre-image side}}$
$\text{Scale factor} = \frac{A'C'}{AC} = \frac{20}{10}$

Step3: Simplify the ratio

$\frac{20}{10} = 2$

Answer:

A. 2