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 pro…

Question

asked Feb 4, 2019 155k views

2 Answers

Lomegor · Answer 1 · 2019-02-08T21:49:08+0000

Answer:

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.