Answer:
The addition property being illustrated in the given equation is the associative property.
The associative property of addition states that the grouping of numbers being added does not affect the sum. In other words, you can regroup the numbers being added and still get the same result.
In the given equation, we have (6+7)+1 on the left side and 6+(7+1) on the right side.
Using the associative property, we can group the numbers differently while keeping the same sum.
On the left side, we can first add 6 and to get 13, and then add 1 to get a total of 14. On the right side, we can first add 7 and 1 to get 8, and then add 6 to get a total of 14.
So, both sides of the equation result in the same sum of 14, which illustrates the associative property of addition.
Therefore, the correct answer is the associative property.