Question

A B C D is a rectangle.
In which P, Q, R and S are
the mid-point of side AB,
BC,CD and DA Respetively,
Show that PQRS is a parallelogram​

Answer 1

Step-by-step explanation:

As,

P and Q are the midpoints of AB and BC.

So,

PS //AC and PS =1/2 AC. -------1

PR parallel AC and PR equal to half AC. -------2

from one and two we conclude,

PS is equal to PR and PS parallel PR.

so we can say that PQRS is a parallelogram.