argent question
can anyone answer me
Answers
Step-by-step explanation:
hope it will help. good luck
Step-by-step explanation:
given,
•ABCD is a //gm
•P,Q,R and S are mid point of
AB,BC,CD and AD respectively
•AC is diagonal of ABCD
Construction: join DB
To prove: PQ=RS and QR=PS
Proof: In ∆ABC,
P is mid point of AB
Q is mid point of BC
PQ= AC/2 {mid point theorem}
In ∆ADC,
S is mid point of AD
R is mid point of CD
RS= AC/2 {mid point theorem}
here PQ=AC/2=RS so, PQ=RS
Again,
In ∆DBC,
R is mid point of CD
Q is mid point of BC
RQ= DB/2 {mid point theorem}
In ∆ADB,
P is mid point of AB
S is mid point of AD
PS= DB/2 {mid point theorem}
here RQ= DB/2= PS so, RQ=PS
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