Which of the following is the rule for rotating the point with coordinates (x, y), 180° clockwise about the origin? A. (x, y)→(y,−x) B. (x, y)→(−y,−x) C. (x, y)→(y, x) D. (x, y)→(−x,−y)

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If you reflect a point across the x-axis, you have (x,y)⇒(x,-y). If you reflect across the y-axis, you have (x,y)⇒(-x,y). A 180° rotation is the same thing as reflecting across both the x and y axes. This means that the rule for rotating the point with coordinates (x,y) 180° clockwise about the origin is D. (x,y)⇒      (-x,-y).

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step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.