If it is cut by a line and one half of it is reflected to the other size, it will match up perfectly.
i.e. cutting a circle right down the middle, or a square from the top left corner to the bottom right corner.
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Symmetric Property of Congruence
Symmetric
No. Do your own homework. http://docs.google.com/gview?a=v&q=cache:ZZmsH0jKHH8J:www.cs.utk.edu/~horton/hw1.pdf+For+each+part+give+a+relation+that+satisfies+the+condition+a+Reflexive+and+symmetric+but+not+transitive+b+Reflexive+and+transitive+but+not+symmetric+c+Symmetric+and+transitive+but+not+reflexive%3F&hl=en&gl=us&sig=AFQjCNHGyc1EDhfqj_mu-RV9yTYZZfXl6A
When in a triangle, for angle A, B, C; As the symmetric property of congruence , when ∠A ≌ ∠B then ∠B ≌ ∠A and when ∠A ≌ ∠C then ∠C ≌ ∠A and when ∠C ≌ ∠B then ∠B ≌ ∠C This is the definition of symmetric property of congruence.
The Symmetric Property of Congruence: If angle A is congruent to angle B, then angle B is congruent to angle A. If X is congruent to Y then Y is congruent to X.