Respuesta :

3.

• 1.

[tex]PQ\cong TQ,UQ\cong QS[/tex]

Reason: Given

• 2.

[tex]PQ=TQ,UQ=QS[/tex]

Reason: Definition of Congruence

• 3.

[tex]PQ+QS=PS;TQ+QU=TU[/tex]

Reason: Segment Addition Postulate

• 4.

[tex]TQ+QS=PS[/tex]

Reason: Substitution (PQ = TQ)

• 5.

[tex]TQ+QS=TU[/tex]

Reason: Substitution (QU = QS)

• 6.

[tex]PS=TU[/tex]

Reason: Transitive Property

• 7.

[tex]PS\cong TU[/tex]

Reason: Definition of Congruence

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