A student made the table shown below to prove that PQ is equal to RQ.

A student made the table shown below to prove that PQ is equal to RQ.

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SQ = TQ Given m∡SQP = m∡TQR Given m∡RSQ = m∡PTQ Given m∡SQR = m∡SQP + m∡PQR Angle Addition Postulate m∡TQP = m∡TQR + m∡PQR Angle Addition Postulate m∡TQP = m∡SQP + m∡PQR Substitution m∡SQR = m∡TQP Transitive Property PQ = RQ CPCTC

A. Provide the missing statement and justification in the proof. B. Using complete sentences, explain why the proof would not work without the missing step.

ESSAY SUBMISSION a. SQ= TQ, angle SQR= angle TQP, and PQ=RQ by the SAS postulate. b. Without the eight step, we could not really verify for sure whether these sides and angle were congruent without the SAS postulate.?

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