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3 years ago

Given: RW ≅ WT; UW ≅ WS Prove: RSTU is a parallelogram. Identify the steps that complete the proof.

Mathematics

2 answers:

JulijaS [17]3 years ago

7 0

Identify the steps that complete the proof.

♣ = ✔ vertical angles theorem

♦ = ✔ SAS

♠ = ✔ CPCTC

stira [4]3 years ago

5 0

Answer with explanation:

Given: RW ≅ WT; UW ≅ WS

To Prove:≡ RSTU is a parallelogram.

Proof: In ΔRWU and ΔTWS

1. RW ≅ WT

2. UW ≅ WS

3. ∠RWU=∠TWS→→[Vertically opposite angles]

ΔRWU≅ΔTWS⇒⇒⇒[SAS]

RU=ST→[CPCT]

∠WRU=∠WTS⇒[C PCT]

RU║ST⇒Alternate angles are equal so lines are parallel.

⇒⇒⇒If in a Quadrilateral , diagonals bisect each other ,and one pair of opposite side is equal and parallel ,so it is a parallelogram.

∴Quadrilateral R STU is a parallelogram

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