Question

If a = b and b = c, what statement must be true?

A) a = c
B) -a = -b
C) c = a
D) ac

Answer 1

Using the transitive property of equality, if a = b and b = c, it must be true that a = c. The correct answer to the question is A) a = c, as this directly applies the property.

Step-by-step explanation:

If a = b and b = c, the statement that must be true is A) a = c. This follows from the transitive property of equality in mathematics, which states that if one quantity equals a second quantity, and the second quantity equals a third quantity, then the first and third quantities must also be equal. Hence, if a = b and b = c, what statement must be true?, the answer is that c = a is true, which is the same as saying a = c, just written in a different order. Both B) -a = -b and D) ac are irrelevant in this context.