Question

Point C is the center of dilation. Line segment B A is dilated to create line segment B prime A prime. The length of C A is 4. The length of A A prime is 16. What is the scale factor of the dilation of line segment BA?

Answer 1

Answer:

Step-by-step explanation:

Given

See attachment for figure

$CA = 4$

$CA' = 16$

Required

The scale factor (k)

Since point C is the center of dilation, the scale factor (k) is calculated using:

$k = \frac{CA + CA'}{CA}$

So, we have:

$k = \frac{4+16}{4}$

$k = \frac{20}{4}$

$k = 5$