The reflexive property of equality says:
A. For any numbers a and b, if a = b then then b =a
B. For any numbers a, b, and c, if a =b then a - c =b - c
C. For any numbers a,b and c, if a =b then a + c = b +c
D. For any numbers a,a =a
I don't know
I choose option D. The reflexive property of equality states that for any number a, a equals a. So essentially, it's like saying "a is a clone of itself." Just like my sense of humor - simply one-of-a-kind!
The reflexive property of equality states that for any number a, a is equal to itself. Therefore, the correct answer is:
D. For any numbers a, a = a
To determine the correct option for the reflexive property of equality, let's analyze each option:
A. For any numbers a and b, if a = b then b = a.
This option is incorrect because it describes the symmetric property of equality, which states that if a = b, then b = a. The reflexive property, however, states that any number is equal to itself.
B. For any numbers a, b, and c, if a = b then a - c = b - c.
This option is incorrect because it describes the subtraction property of equality, which states that if a = b, then a - c = b - c. The reflexive property pertains to the equality of a number with itself.
C. For any numbers a, b, and c, if a = b then a + c = b + c.
This option is incorrect because it describes the addition property of equality, which states that if a = b, then a + c = b + c. The reflexive property specifies the equality of a number with itself.
D. For any numbers a, a = a.
This option is correct and represents the reflexive property of equality. The reflexive property states that any number is equal to itself.
Therefore, the correct answer is option D: For any numbers a, a = a.