Math  /  Geometry

QuestionFind which reflection of the segment from (4,6)(-4,-6) to (6,4)(-6,4) gives endpoints (4,6)(4,-6) and (6,4)(6,4).

Studdy Solution
Finally, consider a reflection across the line y=xy=-x. This means that the xx and yy coordinates are swapped and their signs are changed.
(4,6)(6,4)(-4,-6) \rightarrow (6,4)(6,4)(4,6)(-6,4) \rightarrow (4,-6)This does not match the desired endpoints, so a reflection across the line y=xy=-x is not the correct answer.
The correct reflection is a reflection of the line segment across the yy-axis.

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