if ' a' is congruece to' b ' and' b' is congruence to' c' then 'a' is congurence to 'c'
yes, all the same
yep. Review transitive property.
To prove that "a" is congruent to "c" based on the given information that "a" is congruent to "b" and "b" is congruent to "c," we can use the transitive property of congruence.
The transitive property of congruence states that if two objects (in this case, numbers) are congruent to a third object, then they are congruent to each other.
To apply this property, we can write the statements as congruence relations:
a ≡ b (Given: a is congruent to b)
b ≡ c (Given: b is congruent to c)
Now, by the transitive property, we can conclude that:
a ≡ c (Using the transitive property: if a ≡ b and b ≡ c, then a ≡ c)
Therefore, we have successfully shown that "a" is congruent to "c" based on the given information.