4 years ago

Given: PQ= TQ, UQ: QS

Mathematics

1 answer:

joja [24]4 years ago

3 0

Answer:

The required prove is shown below.

Step-by-step explanation:

Consider the provided statement.

The required figure is shown below:

Statement Reasons

PQ ≅ TQ; UQ ≅ QS Given

PQ = TQ, UQ = QS Definition of Congruence

PQ + QS = PS; TQ+QU = TU Segment Addition Postulate

TQ + QS = PS Substitution (PQ = TQ)

TQ + QS = TU Substitution (QU = QS)

PS = TU Transitive Property

Prove: PS ≅TU Definition of Congruence

Hence, the required prove is shown above.

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