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zimovet [89]
3 years ago
9

Name the property that the statement illustrates.

Mathematics
2 answers:
Kipish [7]3 years ago
8 0

That's the transitive property.

The fact that congruence is transitive means exactly what you have written: if A is congruent to B and B is congruent to C, then you can "bridge" from A to C.

kolezko [41]3 years ago
5 0

Answer:

Transitive property of segment congruence

Step-by-step explanation:

The reflexive, symmetric, and transitive properties are the criterion for an equivalence relation. In terms of congruence,

  • The reflexive property states that \overline{XY} \cong \overline{XY} (a segment is congruent to itself)
  • The symmetric property states that if \overline{AB} \cong \overline{CD}, then \overline{CD} \cong \overline{AB} (this is essentially commutativity)
  • The transitive property states that if \overline{AB} \cong \overline{CD} and \ovelrine{CD} \cong \overline{EF}, then \overline{AB} \cong \overline{EF}.

In terms of general equivalence relations,

  • The reflective property states that a = a.
  • The symmetric property states that if a=b, then b=a.
  • The transitive property states that if a=b and b=c, then a=c.
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