Question

what geometric reason justifies the transition from statement 7 to statement 8? division property of equality transitive property substitution reflexive property

Explanation:

To determine the geometric reason, we analyze each option:

• Division Property of Equality: Applies when dividing both sides of an equation by the same non - zero number. Not relevant here.
• Transitive Property: If \(a = b\) and \(b = c\), then \(a = c\). Not the case here.
• Substitution: Involves replacing a quantity with its equal. In geometric proofs, when we know two quantities are equal, we can substitute one for the other. This is a common reason for transitions between statements.
• Reflexive Property: States that a quantity is equal to itself (\(a=a\)). Not applicable here.

Answer:

Substitution