In the adjoining figure, ABCD is a parallelogram and X is the mid-point of BC. The line AX produced meets DC produced at Q. The parallelogram AQPB is completed. then ΔABX≅ΔQCX. DC=CQ=QP.
is that True or False?
True
False
A
False
B
True
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Q1
In the adjoining figure, ABCD is a parallelogram and X is the mid-point of BC. The line AX produced meets DC produced at Q. The parallelogram AQPB is completed. then ΔABX≅ΔQCX. DC=CQ=QP.
is that True or False?
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Q2
In the adjoining figure ,ABCD is a parallelogram. Any line through A cuts DC at a point P and BC produced at Q. Prove that : ar(ΔBPC)=ar(ΔDPQ).
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Q3
A parallelogram ABCD has P the mid- point of DC and Q intersects AC such that CQ=14AC. PQ produced meets BC at R prove that : (a) R is the mid-point of BC (b) PR=12DB
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Q4
State true or false:
A parallelogram ABCD has P the mid-point of DC and Q a point of AC such that CQ=14AC. PQ produced meets BC at R. Can it be concluded that.
R is the mid-point of BC ?
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Q5
In the figure, ABCD is a parallelogram in which P is the mid -point of DC and Q is a point on Ac such that CQ=14AC If PQ produced meets BC at R, prove that R is a mid -point of BC.