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

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 = (CA + CA')/(CA)`

So, we have:

`k = (4+16)/(4)`

`k = (20)/(4)`

`k = 5`