if we reflect a point (x, y) about the x-axis and then take the result and reflect it about the y-axis, that we have rotated the point a total of 180 degrees about the origin. Use an algebraic argument to prove that this is the case

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 42E
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if we reflect a point (x, y) about the x-axis and then take the
result and reflect it about the y-axis, that we have rotated
the point a total of 180 degrees about the origin.
Use an algebraic argument to prove that this is the case
Transcribed Image Text:if we reflect a point (x, y) about the x-axis and then take the result and reflect it about the y-axis, that we have rotated the point a total of 180 degrees about the origin. Use an algebraic argument to prove that this is the case
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