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ABCD is quadrilateral and p,q,r,s is …

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ABCD is quadrilateral and p,q,r,s is mid point prove that ac bisect cd

Posted by Siddhu Rajput 5 years, 9 months ago

CBSE > Class 09 > Mathematics

1 answers

Gaurav Seth 5 years, 9 months ago

Given:In quadrilateral ABCD

P,Q,R,S are mid point of sides AB,BC,CD and DA respectively

T.P: 1

In triangle ADC,

SR is a line segment joining the mid point of DA and DC respectively

:. SR||AC ( mid point therom)

In triangle BAC

PQ is a line segment joining the mid point of BA and BC respectively.

PQ||AC (mid point therom)

pQ = half of AC

From 1 &2

SR=PQ

SR ||PQ

:. PQRS is a ||gram.

0Thank You

ANSWER

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