which statement is an example of the addition property of equality
A.if a=a then a-c=b-c
B.if a=b then a+c=b+c
C.a=b
D.if a=b thenaxc=bxc
B. If a=b then a+c=b+c
The addition property of equality states that if you add the same number to both sides of an equation, the two sides remain equal.
To determine which statement is an example of the addition property of equality, let's examine each option:
A. "If a=a, then a-c=b-c." This statement does not demonstrate the addition property of equality because it involves subtraction, not addition.
B. "If a=b, then a+c=b+c." This statement demonstrates the addition property of equality. It states that if you add the same number, 'c,' to both sides of the equation 'a=b,' the two sides remain equal.
C. "a=b." This statement is simply an equation and does not specifically reflect the addition property of equality.
D. "If a=b, then axc=bxc." This statement involves multiplication, not addition, so it does not represent the addition property of equality.
Thus, option B, "If a=b, then a+c=b+c," is the correct example of the addition property of equality.