Question

Point P,Q,R,S are midpoint on AB,BC,Cd,AD respectively on quadilateral ABCD,then find perimeter of quadilateral pqrs in term of AC and BD

Answer 1

Answer:

ABCD is a quadrilateral in which P, Q, R, and S are mid-points of the lines AB, BC, CD and DA ( see in fig ). AC is a diagonal. Show that:

(i) SR || AC and SR=

2

1

AC

(ii) PQ= SR

(iii) PQRS is a parallelogram