Question

If a, b, and c are real numbers, which property is shown below? If a = b and b = c, then a = c. multiplication property of equality reflexive property of equality transitive property of equality addition property of equality

Answer 1

transitive property of equality

Answer 2

The correct option is 3, i.e., transitive property of equality.

Explanation:

Multiplication property of equality: According to this property, if a, b, and c are real numbers, then

`a=b\Leftrightarrow ac=bc`

Both are equivalent equations.

Reflexive property of equality : According to this property, a number is equivalent to itself. If a is a real number, then

`a=a`

Transitive property of equality: According to this property, if a, b, and c are real numbers, then

`a=b,b=c\Leftrightarrow a=c`

Addition property of equality: According to this property, if a, b, and c are real numbers, then

`a=b\Leftrightarrow a+c=b+c`

Both are equivalent equations.

It is given that

`a=b` .... (1)

`b=c` .... (2)

Using (1) and (2),

`a=c` (transitive property of equality)

Therefore the correct option is 3.