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Show that the relation R defined in the ...

Show that the relation R defined in the set A of all polygons as `R={(P_1,P_2):P_1" and "P_2" have same number of sides"}`, is an equivalence relation. What is the set of all elements in A related to the right angle triangle T with sides 3,4 and 5?

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`R={(P_1,\ P_2): P_1` and `P_2` have same number of sides}
`(P_1,\ P_2) in R` as same polygon has same number of sides.
`therefore` R is reflexive.
`(P_1,\ P_2) in R` `implies P_1` and `P_2` have same number of sides.
`implies P_2` and `P_1` have same number of sides.
`(P_2,\ P_1) in R`
`therefore` R is symmetric. ...
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