Question

1. point b lies on ac ab + bc = ac 2) ac = 24 3) bc = 6 4) ab + 6 = 24 5) ab = 18 prove ab = 18 point b lies on ac ac = 24 bc = 6 1) given 2) postulate 3) given 4) given 5) substitution 6) ? what geometric reason justifies the transition from statement 5 to statement 6? transitive property division property of equality substitution subtraction property of equality

Explanation:

Step1: Analyze given statements

We have:

• Statement 5: $AB + 6=24$
• Statement 6: $AB = 18$

Step2: Identify the operation

To get from $AB + 6=24$ to $AB = 18$, we subtract 6 from both sides of the equation. This is based on the Subtraction Property of Equality which states that if $a=b$, then $a - c=b - c$. Here $a = AB+6$, $b = 24$ and $c = 6$.

Answer:

Subtraction Property of Equality