Questions: Pedro goes to a family reunion and meets his cousins. He knows the following: Pedro's age is the same as that of his cousin Paolo. Paolo's age is the same as that of their cousin Mauricio. From this information, Pedro concluded the following: Pedro's age is the same as that of their cousin Mauricio. Which property of equality did he use? Symmetric Property of Equality Reflexive Property of Equality Substitution Property of Equality Transitive Property of Equality

Pedro goes to a family reunion and meets his cousins. He knows the following: Pedro's age is the same as that of his cousin Paolo. Paolo's age is the same as that of their cousin Mauricio. From this information, Pedro concluded the following: Pedro's age is the same as that of their cousin Mauricio. Which property of equality did he use? Symmetric Property of Equality Reflexive Property of Equality Substitution Property of Equality Transitive Property of Equality
Transcript text: Pedro goes to a family reunion and meets his cousins. He knows the following: Pedro's age is the same as that of his cousin Paolo. Paolo's age is the same as that of their cousin Mauricio. From this information, Pedro concluded the following: Pedro's age is the same as that of their cousin Mauricio. Which property of equality did he use? Symmetric Property of Equality Reflexive Property of Equality Substitution Property of Equality Transitive Property of Equality
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Solution

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Solution Steps

Step 1: Understanding the Given Information

Pedro's age is the same as Paolo's age, and Paolo's age is the same as Mauricio's age. This can be represented as:

  • \( \text{Pedro's age} = \text{Paolo's age} \)
  • \( \text{Paolo's age} = \text{Mauricio's age} \)
Step 2: Applying the Property of Equality

From the above, Pedro concludes that his age is the same as Mauricio's age:

  • \( \text{Pedro's age} = \text{Mauricio's age} \)

This conclusion is drawn by using the Transitive Property of Equality, which states that if \( a = b \) and \( b = c \), then \( a = c \).

Final Answer

The property of equality used is the Transitive Property of Equality.

\\(\boxed{\text{Transitive Property of Equality}}\\)

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