John Cox
10/17/2023 · Junior High School

If \( 6+2=4+4 \) and \( 4+4=8 \), then \( 6+2=8 \) \( \begin{array}{l}\text { A) Transitive Property of Equality } \\ \text { B) Reflexive Property of Equality } \\ \text { C) Distributive Property of Equality } \\ \text { D) Symmetric Property of Equality }\end{array} \)

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To analyze the statement \( 6+2=4+4 \) and \( 4+4=8 \) leading to the conclusion \( 6+2=8 \), we can identify the property being used. 1. The first equation states that \( 6+2 \) is equal to \( 4+4 \). 2. The second equation states that \( 4+4 \) is equal to \( 8 \). 3. From these two equalities, we can conclude that \( 6+2 \) is equal to \( 8 \) because if two things are equal to the same thing, they are equal to each other. This is known as the Transitive Property of Equality. Thus, the correct answer is: **A) Transitive Property of Equality**

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The correct answer is A) Transitive Property of Equality.
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