Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let 
be the set of all triangles in the Euclidean plane and let a relation 
on 
be defined as 
if 
is congruent to 
. Then 
is
Text Solution
Verified by ExpertsThe correct answer is:
C
(i) We know that every triangle is congruent to itself.
for all 
. Thus, 
is reflexive.
(ii) Let 
is congruent to 
is congruent to 
.
, Thus, 
is symmetric.
(iii) Let 
and 
.
is congruent to 
and 
is congruent to 
is congruent to 
.
Thus, 
is transitive.
is an equivalence relation.
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