What is the image of 6 7 (−6,−7) after a reflection over the line y x y=−x?

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Answer 1

Reflections:

• When a point (x,y) is reflected across the line y = x, the image point is (y, x). Example: If P = (3,-1) is reflected across the line y = x, then P' = (-1,3)
• When a point (x,y) is reflected across the line y = -x, the image point is (-y, -x). Example, If P=(3,-1) is reflected across y = -x, then P'=(1,-3)

 

Check out the following study guide on geometric transformations:

 

      https://www.wyzant.com/resources/files/496649/geometric_transformations