Question

Given the rectangular coordinates left-parenthesis negative 5 comma 5 right-parenthesis, which of the following polar coordinate pairs, in radians, represents the same point?

(1 point)
Responses

left-parenthesis 5 Start Root 2 End Root comma Start Fraction 7 pi over 4 End Fraction right-parenthesis
Image with alt text: left-parenthesis 5 Start Root 2 End Root comma Start Fraction 7 pi over 4 End Fraction right-parenthesis

left-parenthesis 2 Start Root 5 End Root comma Start Fraction 7 pi over 4 End Fraction right-parenthesis
Image with alt text: left-parenthesis 2 Start Root 5 End Root comma Start Fraction 7 pi over 4 End Fraction right-parenthesis

left-parenthesis 10 comma Start Fraction 3 pi over 4 End Fraction right-parenthesis
Image with alt text: left-parenthesis 10 comma Start Fraction 3 pi over 4 End Fraction right-parenthesis

left-parenthesis 5 Start Root 2 End Root comma Start Fraction 3 pi over 4 End Fraction right-parenthesis
Image with alt text: left-parenthesis 5 Start Root 2 End Root comma Start Fraction 3 pi over 4 End Fraction right-parenthesis

Answer 1

[AI-generated answer — Bot GPT 3.5]

The correct polar coordinate pair in radians that represents the point with rectangular coordinates (-5, 5) is left-parenthesis 5 Start Root 2 End Root comma Start Fraction 3 pi over 4 End Fraction right-parenthesis.