Show that the line segments joining the mid points of the opposite sides of a quadrilateral bisect each other?

Asked by simran2 | 5th Aug, 2010, 12:00: AM

Expert Answer:

Dear Student,
 
ABCD is a quadrilateral in which P, Q, R, & S are mid points of AB, BC, CD & AD
In ∆ACD, SR is touching mid points of CD and AD
So, SR||AC

Similarly following can be proved
PQ||AC, QR||BD and PS||BD

So, PQRS is a parallelogram.

PR and QS are diagonals of the parallelogram PQRS, so they will bisect each other.
 
Regards,
Topperlearning.

Answered by  | 5th Aug, 2010, 07:34: PM

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