The statement 'If a is b, and b is c, then a is c' correctly expresses the transitive property of equality in mathematics.
True
If a is b, and b is c, then a is c
Which property states that if a=b, and b=c, then a=c?
Source: socratic.org
At a glance
Verified September 10, 2025Key Evidence
clearly states that the property described is the transitive property of equality.
socratic.orgsocratic.orgWhich property states that if a=b, and b=c, then a=c?
confirms the conclusion using standard algebraic reasoning.
cuemath.comcuemath.comIf a = b and b = c then comment on a = c . [SOLVED]
provides forum discussion supporting the logical flow from 'a = b' and 'b = c' to 'a = c'.
freemathhelp.comfreemathhelp.comIf a = b, and b = c, then ...?
The reporting
What the Evidence Shows
The input statement 'If a is b, and b is c, then a is c' corresponds to the transitive property of equality, a fundamental logical and mathematical principle. This property states that if one quantity equals a second, and the second equals a third, then the first equals the third. This principle is widely accepted and used in various branches of mathematics including algebra, number theory, and set theory.
explicitly identifies this as the transitive property.socratic.orgsocratic.orgWhich property states that if a=b, and b=c, then a=c?
confirms that if a = b and b = c, then a = c by applying commutative and transitive properties.cuemath.comcuemath.comIf a = b and b = c then comment on a = c . [SOLVED]
discusses similar expressions in algebraic contexts supporting this logical inference.freemathhelp.comfreemathhelp.comIf a = b, and b = c, then ...?
Other sources discuss related set theory or divisibility properties that rely on similar transitive reasoning but in more specific contexts.math.stackexchange.commath.stackexchange.comelementary set theory - If $ A \in B $ and $ B \subseteq C $ then $ A \in C $....
doubtnut.comdoubtnut.comIf A sub B "and " C, " then " A in C is this statement true ?+2 more presents an unrelated context where the equality might not hold due to domain-specific reasons (rebreather diving analogy), which does not contradict the mathematical principle but rather illustrates domain-specific exceptions.
Overall, the statement is a correct representation of a fundamental mathematical property with broad consensus across educational and mathematical resources.
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