The diagonal PR of a quadrilateral PQRS bisects the angles P and R- thenA- PS - PQ and QR - RSB- P S-P R and S R-Q SC- PS - RS and PQ - QRD- PQ - SR and QR - PS

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Congruent Triangles

The diagonal ...

Question

The diagonal PR of a quadrilateral PQRS bisects the angles P and R, then

PS = PQ and QR = RS

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PS = PR and SR = QS

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PS = RS and PQ = QR

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PQ = SR and QR = PS

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Solution

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Construct a quadrilateral PQRS where PQ = 4 cm,QR = 6 cm, RS = 5 cm, PS = 5.5 cm and PR = 7 cm.[3 MARKS]

P S = 5 c m

P Q = 12 c m

P Q R S

P R

P Q = 7 c m, Q R = 6 c m

R S = c m

P S =

∠

40^{o}

P Q R S

∠ Q P S = ∠ S Q R = 90^{o}, P Q = 12 c m, P S = 9 c m, Q R = 8 c m

S R = 17 c m

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