No, equality of numbers has a reflexive property. Perpendicularity of lines has a symmetric property.
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A statement that undergoes the reflexive property is a statement that is turned backwards. Ex. Original- If an animal is a frog, it is an amphibian. Reflexive- If an animal is an amphibian, it is a frog.
Some relations are, some are not.
The reflexive property simply says that A=A, in other words, any number is equal to itself.
5+5=5+5
The reflex property is that angle a equals angle a, or a number=the same number.