Given: Segment $$ A C $$ has a length of 24 units, point $$ B $$ lies somewhere on segment $$ A C $$, and the length of segment $$ B C $$ is 6 units. Prove: $$ A B=18 $$ Statement: 1. Point $$ B $$ lies on segment $$ A C $$ Reason: 2. $$ A B+B C=A C $$ 3. $$ \mathrm{AC}=24 $$ 4. $$ B C=6 $$ 5. $$ A B+6=24 $$ 6. $$ A B=18 $$ 2. Postulate 3. Given 4. Given 1. Given 5. [ ? 6. $$ \square $$ Select the reason that best supports Statement 5 in the given proof. Subtraction Property of Equality Substitution Division Property of Equality

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$$
\textbf{Answer: Substitution}
$$

We start with the equation from Statement 2:
$$
A B + B C = A C
$$
Given $$B C = 6$$ (Statement 4) and $$A C = 24$$ (Statement 3), we substitute these values into the equation:
$$
A B + 6 = 24
$$
Thus, the step in Statement 5 is justified by the \textbf{Substitution} property.
The reason that best supports Statement 5 is **Substitution**.

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