Question

Which properties of equality justify each statement? 

A. 2a + 3b = 2a + 3b

B. 60 = 45t  and 60 = 35(t - 1). Therefore, 45t = 35(t -1

Answer 1

A. 2a + 3b = 2a + 3b

Reflexive Property A quantity is congruent (equal) to itself.  a = a

The statement represents the reflexive property.

Answer 2

• A.

The statement is 2a + 3b = 2a + 3b.

Reflexive property of equality : a = a.

So, the statement justifies the reflexive property of equality.

• B.

The statement is 60 = 45t and 60 = 35(t - 1).Therefore, 45t = 35(t - 1)

Transitive property of equality : if a = b and a = c, then b = c.

So, the statement justifies the transitive property of equality.