Questions: Select the reason that best supports Statement 2 in the given proof. Definition of Congruency Subtraction Property of Equality Reflexive Property

Solution Steps

The problem provides three options to support a statement in a proof. The options are:

1. Definition of Congruency
2. Subtraction Property of Equality
3. Reflexive Property

To determine the best reason for Statement 2, we need to understand the context of the statement. However, since the context is not provided, we will analyze the general use of each option:

• Definition of Congruency: This is used when two figures or segments are defined to be congruent, meaning they have the same size and shape.
• Subtraction Property of Equality: This property states that if you subtract the same amount from both sides of an equation, the equality is maintained.
• Reflexive Property: This property states that any geometric figure is congruent to itself, or any number is equal to itself.

Without specific context, we can make educated guesses based on typical usage:

• If Statement 2 involves showing two figures or segments are congruent, the "Definition of Congruency" might be the reason.
• If Statement 2 involves manipulating an equation by subtracting the same value from both sides, the "Subtraction Property of Equality" would be appropriate.
• If Statement 2 involves stating that something is equal or congruent to itself, the "Reflexive Property" would be the reason.

Final Answer