Posted by Anonymous on Tuesday, January 11, 2011 at 3:28am.
Prove that if a subset C of R*R is symmetric with respect to both the xaxis and yaxis, then it is symmetric with respect to the origin

math  MathMate, Tuesday, January 11, 2011 at 7:15pm
Let x,y ∈ ℝ
(x,y) ∈ C
=> (x,y) ∈ C ..... symm. about yaxis
=> (x,y) ∈ C ..... symm. about xaxis
Prove similarly that
(x,y)∈C => (x,y) ∈C.
Thus,
(x,y)∈C <=> (x,y)∈C
or C is symmetric about the origin.
Answer This Question
Related Questions
 math  Prove that if a subset C of R*R is symmetric with respect to both the x...
 maths2  Test the equation for symmetry with respect to the xaxis, the yaxis, ...
 math  Determine whether the function is symmetric with respect to the yaxis, ...
 Math  Is the following function symmetric with respect to the yaxis, symmetric...
 PreCalculuscheck answers  The graph of the equation y=x^3x is symmetric with...
 trigonometry help please :(  2) Simplify √14/5√1 A.1/24+19/24i...
 Math Analysis  Tell if the function is symmetric with respect to the xaxis, y...
 PreCalc  Could somebody please check this for me? Dtermine whether the graph ...
 Trigonometry  1. Which of the following statements are true? (i) r = 4 – 3 sin...
 Trigonometry  1. Which of the following statements are true? (i) r = 4 – 3 sin...
More Related Questions