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Question
ABCD is a parallelogram in which P, Q, R and S are the mid points of sides AB, BC CD and DA respectively. Then,
ABCD is a parallelogram in which P, Q, R and S are the mid points of sides AB, BC CD and DA respectively. Then,
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Solution
The correct option is D PQ = RS
In ∆ABC, P and Q are the mid points of sides AB and BC respectively.
By mid point theorem, PQ || AC and PQ = ½ AC
In ∆ADC, R and S are the mid points of sides CD and AD respectively.
RS || AC and RS = ½ AC
Thus you get PQ = RS
PQ = RS
In ∆ABC, P and Q are the mid points of sides AB and BC respectively.
By mid point theorem, PQ || AC and PQ = ½ AC
In ∆ADC, R and S are the mid points of sides CD and AD respectively.
RS || AC and RS = ½ AC
Thus you get PQ = RS
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