2.07 Quiz Algebraic Proof
Question: reflexive property of equality
Answer: for all real numbers a, a = a
Question: symmetric property of equality
Answer: for all real numbers a and b, if a = b, then b = a
Question: transitive property of equality
Answer: for all real numbers a, b, and c, if a = b and b = c, then a = c
Question: addition property of equality
Answer: for all real numbers a, b, and c, if a = b then a + c = b + c
Question: subtraction property of equality
Answer: for all real numbers a, b, and c, if a = b, then a − c = b − c
Question: multiplication property of equality
Answer: for all real numbers a, b, and c, if a = b, then ac = bc
Question: division property of equality
Answer: for all real numbers a, b, and c, if a = b and c ≠ 0 , then a/c=b/c