Which property is illustrated by the following statement if ABC=DEF and DEF=XYZ then ABC=XYZ

Question

Mathematics

Shirley Bryan

23 November, 07:16

Which property is illustrated by the following statement if ABC=DEF and DEF=XYZ then ABC=XYZ

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Answers (2)

Know the Answer?

Jovan Goodwin · Answer 1

Transitive

Raquel Greer · Answer 2

Transitive property of equality

Step-by-step explanation:

Let A be any non empty set and R is any subset of the Cartesian product A * A. Then, R is a relation on A.

The relation R is said to be a transitive relation if (a, b) ∈ R, (b, c) ∈ R, then (a, c) ∈ R.

It is given that ABC = DEF and DEF = XYZ, then ABC = XYZ.

This shows the transitive property of equality.