Question

what is an advantage of using a paragraph proof?
a. clearly separated statements and reasons
b. visual clarity with boxes and arrows
c. starts with the assumption of the opposite
d. narrative and detailed explanation

what is the purpose of the given information in a geometric proof?
a. to justify the proof
b. to list the steps needed to solve the proof
c. to establish initial conditions or facts
d. to provide conclusions

which column in a two - column proof contains justifications for each step?
a. statements
b. reasons
c. hypothesis
d. conclusion

what role does the to prove section play in a geometric proof?
a. it lists the assumptions
b. it gives visual aids
c. it provides the conclusions
d. it states the theorem or statement that needs to be demonstrated

Explanation:

1. A paragraph proof presents the logical argument in a narrative - style, giving a detailed explanation. So, for the first question, the advantage of a paragraph proof is its narrative and detailed explanation.
2. In a geometric proof, the 'Given' information is used to establish the initial conditions or facts from which the proof proceeds.
3. In a two - column proof, one column has statements and the other has the reasons (justifications) for each step.
4. The 'To Prove' section in a geometric proof states the statement that needs to be demonstrated.

Answer:

1. D. Narrative and detailed explanation
2. C. To establish initial conditions or facts
3. B. Reasons
4. D. States the statement that needs to be demonstrated