Question

8 15 + 3 = 8 + 10 and 8 + 10 = select choice, then select choice + 3 = 18 by the select choice property of equality. the options for the last select choice are symmetric, substitution, transitive.

Explanation:

Step1: Calculate 8+10

$8 + 10 = 18$

Step2: Identify substituted value

We know $15+3=8+10=18$, so substitute $15$ for the blank to get $15+3=18$.

Step3: Match equality property

The transitive property states if $a=b$ and $b=c$, then $a=c$. Here $15+3=8+10$ and $8+10=18$, so $15+3=18$, which uses the transitive property.

Answer:

1. $18$
2. $15$
3. Transitive