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The diagonals of a rectangle are axes of symmetry. True or Fause?

 Dec 1, 2014

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 #2
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Anonymous's answer can be seen clearly by the following diagram......

 

 

Point "A" could only have a symmetric point  about a diagonal whose slope was 1. (In other words, the point (8, -2) would have to lie on the rectangle.....it doesn't). But diagonal BC has a slope of 1/4. And point "B" could only have a  symmetric point about a diagonal whose slope was -1. (Point (-2,-8) would have to lie on the rectangle...it doesn't either).  But diagonal AD has a slope of -1/4.

The axes of symmetry are the x axis and the y axis.

 

 Dec 1, 2014
 #1
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The answer is false because if you tried to fold a rectangle in half diagonally, it would not match up. A square however, would.

 Dec 1, 2014
 #2
avatar+130511 
+5
Best Answer

Anonymous's answer can be seen clearly by the following diagram......

 

 

Point "A" could only have a symmetric point  about a diagonal whose slope was 1. (In other words, the point (8, -2) would have to lie on the rectangle.....it doesn't). But diagonal BC has a slope of 1/4. And point "B" could only have a  symmetric point about a diagonal whose slope was -1. (Point (-2,-8) would have to lie on the rectangle...it doesn't either).  But diagonal AD has a slope of -1/4.

The axes of symmetry are the x axis and the y axis.

 

CPhill Dec 1, 2014

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