Question

what geometric reason justifies the transition from statement 2 to statement 5? substitution division property of equality subtraction property of equality transitive property

Explanation:

To determine the geometric reason for the transition from statement 2 to statement 5, we analyze the properties:

• Substitution: Replaces a quantity with an equal one. If statement 2 and another statement have equal quantities, substitution could apply.
• Division Property of Equality: Divides both sides of an equation by the same non - zero number. Not likely if the transition isn't about division.
• Subtraction Property of Equality: Subtracts the same number from both sides of an equation. Not relevant if the transition isn't about subtraction.
• Transitive Property: If \(a = b\) and \(b = c\), then \(a = c\). But the question is about transition from statement 2 to 5, and substitution is more about replacing a value (e.g., if statement 2 gives a value and statement 5 uses that value by substituting it). So the most probable is Substitution.

Answer:

Substitution