Let T be the set of all triangles in the Euclidean plane, and let a relation R on T be defined as aRb. If a is congruent to b where a,b∈T, then R is:
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relation R in a set A is called
reflexive,
reflexive,
if
(a,a)∈R
(a,a)∈R
for every
a∈A
a∈A
A relation R in a set A is called
symmetric
symmetric
, if
(
a
1
,
a
2
)∈R⇒(
a
reflexive,
reflexive,
if
(a,a)∈R
(a,a)∈R
for every
a∈A
a∈A
A relation R in a set A is called
symmetric
symmetric
, if
(
a
1
,
a
2
)∈R⇒(
a
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