ABCD is a quadrilateral in which pqrs are midpoints of a BB CC DD a state that pqrs is a parallelogram
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Draw a quadrilateral ABCD
Let P,Q,R and S be the mid point of side AB,BC,CD and DA.
Join PQ,QR,RS and SP
also join AC and BD
In triangle ABC
SP ll DB ( Line joining the mid point of two
side of a Triangle is parallel to the
third side )..........(1)
similarly, in Triangle CDB
QR ll DB..........(2)
From (1) and (2) we have SP ll QR.........(3)
Similarly, taking PQ and SR parallel to AC
we get, PQ ll SR.........(4)
From (3) and (4) we can say that PQRS is a
parallogram.(since, PQ ll SR
and SP ll RQ )
make this answer a brainliest answer !!!!!!!!
Let P,Q,R and S be the mid point of side AB,BC,CD and DA.
Join PQ,QR,RS and SP
also join AC and BD
In triangle ABC
SP ll DB ( Line joining the mid point of two
side of a Triangle is parallel to the
third side )..........(1)
similarly, in Triangle CDB
QR ll DB..........(2)
From (1) and (2) we have SP ll QR.........(3)
Similarly, taking PQ and SR parallel to AC
we get, PQ ll SR.........(4)
From (3) and (4) we can say that PQRS is a
parallogram.(since, PQ ll SR
and SP ll RQ )
make this answer a brainliest answer !!!!!!!!
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