Eceljo123idn
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What property of equality is showed in this statement "If a=b and b=c, then a=c"?

A. Distributive Property
B. Symmetric Property
C. Reflexive Property
D. Transitive Property​

Sagot :

Cyra07idn

Answer:

D.Transitive property

Mrgamologyidn

Transitive Property of Equality

The Transitive Property of Equality is one of the math Properties of Equality, including the Reflexive Property, the Symmetric Property, the Addition and Subtraction Properties of Equality, and the Multiplication and Division Properties of Equality.

The Transitive Property of Equality states:

If

a=b and b=c then a=c

Why Does This Hold?

Let's say that we have the following equalities:

a=b b=c

By the Symmetric Property of Equality, we know that writing

a=b is the same as writing b=a.

Now we have two new equalities:

b=a b=c

But wait! Now b equals both a and c! Since b cannot equal two completely different quantities, a and c must be equal. So,a=c

Let's look at a few examples of the Transitive Property of Equality.

Example One

First, consider the following equalities.

x=3² 3²=9

By the Transitive Property of Equality, we know that if

x=3² and 3²=9, then x=9.

Practice Problem

Kami is 6 feet tall. If Kami is the same height as Andre, and Andre is the same height as Gwen,how tall is Gwen?

More Questions?

https://www.expii.com/t/transitive-property-of-equality-definition-examples-4155

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