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Your required answer :
- PQRS is a parallelogram
- PQRS is a parallelogramPQ // RS
- PQRS is a parallelogramPQ // RSPS // QR
PQRS is a parallelogramPQ // RSPS // QRSo ,
- PQRS is a parallelogramPQ // RSPS // QRSo ,PQ = RS
- PQRS is a parallelogramPQ // RSPS // QRSo ,PQ = RSBR = PA
- PQRS is a parallelogramPQ // RSPS // QRSo ,PQ = RSBR = PATherefore APBR is a parallelogram .
PQRS is a parallelogramPQ // RSPS // QRSo ,PQ = RSBR = PATherefore APBR is a parallelogram .Now ,
- PQRS is a parallelogramPQ // RSPS // QRSo ,PQ = RSBR = PATherefore APBR is a parallelogram .Now ,In ∆ QTP
- PQRS is a parallelogramPQ // RSPS // QRSo ,PQ = RSBR = PATherefore APBR is a parallelogram .Now ,In ∆ QTPA is mid point of PQ .
- PQRS is a parallelogramPQ // RSPS // QRSo ,PQ = RSBR = PATherefore APBR is a parallelogram .Now ,In ∆ QTPA is mid point of PQ .AU // PT
Now by using converse of mid point theorem :
- Now by using converse of mid point theorem :QU = UT ---- ( 1 )
- Now by using converse of mid point theorem :QU = UT ---- ( 1 )Therefore PB and AR bisect SQ .
- In ∆ URS
- In ∆ URS B is mid point of SR
- RU // TB
By converse of Mid Point Theorem :
- UT = TS ---- ( 2 )
From equation 1 and equation 2 :
- ST = UT = UQ
Thus we can say that line segment PB and AR trisect the Diagonal SQ
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