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galina1969 [7]
3 years ago
11

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.

♣ = <span>✔ vertical angles theorem</span>

♦ = <span>✔ SAS</span>

♠ = <span><span>✔ CPCTC</span></span>

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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