The answers to exercises marked IBB] can be found in the Back of the Book.
Determine, with reasons, whether or not each of the following defines an equivalence relation on the set A.
(a) [BB] A is the set of all triangles in the plane; a ~ b if and only if a and b are congruent.
(b) Ais the set of all circles in the plane; a ~ b if and only if a and b have the same center.
(c) A is the set of all straight lines in the plane; a ~ b if and only if a is parallel to b.
(d) A is the set of all lines in the plane; a ~ b if and only if a is perpendicular to b.
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