Question

what geometric reason justifies the transition from statement 3 to statement 6? substitution addition property of equality subtraction property of equality transitive property

Explanation:

To determine the geometric reason for the transition from statement 3 to statement 6, we analyze the properties:

• Substitution: Replaces a quantity with its equal. If statement 3 and another statement give equal quantities, substitution could apply.
• Addition/Subtraction Property of Equality: Involves adding/subtracting the same to both sides, not just replacing.
• Transitive Property: If \(a = b\) and \(b = c\), then \(a = c\), which is different from substitution.

Assuming the transition involves replacing a value with its equal (e.g., from a previous statement), Substitution is the most likely reason.

Answer:

Substitution