Question

triangle abc was dilated using the rule $d_{r, \frac{5}{4}}$. if $ca = 8$, what is $ca$? \bigcirc 10 units \bigcirc 12 units \bigcirc 16 units \bigcirc 20 units

Explanation:

Step1: Recall dilation scale factor rule

The length of the dilated segment is the original length multiplied by the scale factor. The scale factor here is $\frac{5}{4}$.

Step2: Calculate dilated length $C'A'$

Multiply original $CA$ by the scale factor:
$C'A' = CA \times \frac{5}{4}$
Substitute $CA=8$:
$C'A' = 8 \times \frac{5}{4}$

Answer:

10 units