Question

Statements1. PQ = TQ,UQ = QS2. PQ = TQ, UQ = QS3. PQ + QS = PS, TQ + QU = TU4. TQ+ QS = PS5. TQ + OS = TU6. PS= TU7. PS=TU

Answer 1

3.

• 1.

$PQ\cong TQ,UQ\cong QS$

Reason: Given

• 2.

$PQ=TQ,UQ=QS$

Reason: Definition of Congruence

• 3.

$PQ+QS=PS;TQ+QU=TU$

Reason: Segment Addition Postulate

• 4.

$TQ+QS=PS$

Reason: Substitution (PQ = TQ)

• 5.

$TQ+QS=TU$

Reason: Substitution (QU = QS)

• 6.

$PS=TU$

Reason: Transitive Property

• 7.

$PS\cong TU$

Reason: Definition of Congruence