Triangle A″B″C″ is formed using the translation (x + 0, y + 2) and the dilation by a scale factor of 2 from the origin. Which equation explains the relationship between segment AC and segment A double prime C double prime?

Question

Triangle A″B″C″ is formed using the translation (x + 0, y + 2) and the dilation by a scale factor of 2 from the origin. Which equation explains the relationship between segment AC and segment A double prime C double prime?

coordinate plane with triangle ABC at A negative 3 comma 3, B 1 comma negative 3, and C negative 3 comma negative 3

segment AC over segment A double prime C double prime = 2
segment A double prime C double prime over segment AC = one half
segment AC = segment A double prime C double prime over 2
segment A double prime C double prime = segment AC over 2

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1 answer
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Answer 1

Bot GPT 3.5 answered
1 month ago

segment A double prime C double prime = segment AC over 2

Explanation:
When a triangle is translated by (x + 0, y + 2) and dilated by a scale factor of 2 from the origin, the distance between corresponding points on the original and transformed triangle is halved. This means that the ratio of segment AC to segment A double prime C double prime will be 2:1, or segment A double prime C double prime = segment AC over 2.