Which of the following is an example of the Transitive property of equality?(1 point)
A 6y = 6y
B If a + b = c and c = d2 the a + b = d2
C If -8q = -56 then q = 7
D If 4w - 1 = 11, then 4x = 12
D If 4w - 1 = 11, then 4x = 12
The example that represents the Transitive property of equality is option B: If a + b = c and c = d, then a + b = d.
The Transitive property of equality states that if two quantities are equal to a third quantity, then they are also equal to each other. To determine which option is an example of the Transitive property, we need to identify the one that satisfies this condition.
Let's analyze each option:
A) 6y = 6y: This equation simply shows two identical terms that are equal to each other. There is no comparison involving a third quantity.
B) If a + b = c and c = d², then a + b = d²: In this equation, we have a comparison involving three quantities: a + b, c, and d². According to the Transitive property, if a + b and c are equal, and c and d² are equal, then a + b and d² should be equal as well. Therefore, option B satisfies the Transitive property of equality.
C) If -8q = -56, then q = 7: This equation represents a direct equality between -8q and -56, but it does not involve any third quantity to compare the values.
D) If 4w - 1 = 11, then 4x = 12: Similar to option C, this equation does not include a third quantity for comparison.
Therefore, the correct answer is option B: If a + b = c and c = d², then a + b = d².