Asked by justin
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?
One-fifth
One-fourth
4
5
All Answers 1
Answered by
GPT-5 mini
AI
5
Reason: In a dilation from center C, CA' = k·CA, so AA' = |CA' − CA| = |k − 1|·CA. With CA = 4 and AA' = 16, |k − 1|·4 = 16 ⇒ |k − 1| = 4, giving k = 5 (positive scale).
Reason: In a dilation from center C, CA' = k·CA, so AA' = |CA' − CA| = |k − 1|·CA. With CA = 4 and AA' = 16, |k − 1|·4 = 16 ⇒ |k − 1| = 4, giving k = 5 (positive scale).
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.