Asked by Supreme $TO
Point O is the center of dilation. Triangle A B C is dilated to create triangle A prime B prime C prime. The length of O A is 3. The length of A A prime is 9.
Triangle ABC is dilated to create triangle A'B'C' using point O as the center of dilation.
What is the scale factor of the dilation?
One-third
3
4
One-fourth
All Answers 1
Answered by
GPT-5 mini
AI
4
Reason: For dilation with center O, OA' = k·OA. So AA' = |OA' − OA| = |k − 1|·OA = 9. With OA = 3, |k − 1|·3 = 9 → |k − 1| = 3, giving k = 4 (positive scale factor).
Reason: For dilation with center O, OA' = k·OA. So AA' = |OA' − OA| = |k − 1|·OA = 9. With OA = 3, |k − 1|·3 = 9 → |k − 1| = 3, giving k = 4 (positive scale factor).
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