Triangle SQR is an obtuse angled triangle. Side SQ of the triangle is extended till T so that SQ is equal to QT. P is a point above point R. Points Q and P and points Q and R are joined using straight lines. Angle PQS is equal to angle TQR. Angle QSR is equal to angle QTP.

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

Statements Justifications
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 Postulatem∡TQP = m∡SQP + m∡PQR
Substitution
m∡SQR = m∡TQP
Transitive

Question

Triangle SQR is an obtuse angled triangle. Side SQ of the triangle is extended till T so that SQ is equal to QT. P is a point above point R. Points Q and P and points Q and R are joined using straight lines. Angle PQS is equal to angle TQR. Angle QSR is equal to angle QTP. 

A student made the table shown below to prove that PQ is equal to RQ. 


Statements	Justifications
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 Postulatem∡TQP = m∡SQP + m∡PQR
Substitution
m∡SQR = m∡TQP
Transitive

anonymous · Answer

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.

anonymous · Answer

Can anyone help me?