In the figure ABCD iś a parallelogram. `dotP, Q, R` and `S` are the midpoint of the sides of the parallelogram. Prove that `P Q=R S` and `Q R=P S`.

Consider the following quadrilateral ABCD in which P,Q,R,S are the mid points of the sides. Show that PQRS is a parallelogram.

ABCD is square. P,Q,R,S are the mid points of the sides. If side of ABCD is 6cm. What is the area of PQRS

ABCD is square. P,Q,R,S are the mid points of the sides. If side of ABCD is 6cm. Calculate the perimeter of PQRS.

ABCD is square. P,Q,R,S are the mid points of the sides. If side of ABCD is 6cm. What is the length of one side of PQRS.

In the figure given below P, Q, R are the mid points of the sides of AB, BC and AC of the triangle ABC . The area of the triangle ABC is 60 sq.cm. find the area of the parallelogram APQR.

In the parallelogram PQRS, P(-3,2) Q(2,7), S(1, 9) are three vertices. Find the length of the diagonal PR.

ABCD is a quadrilateral in which P,Q, R and S are midpoints of the sides AB , BC, CD and DA .AC is a diagonal. Śhow that i) SR is parallel to AC, and SR= 1/2 AC. ii) P Q=SR iii) PQRS is a parallelogram.

Consider the following quadrilateral ABCD in which P,Q,R,S are the mid points of the sides. If veca is any vector, prove that veca=(veca*i)i+(veca*j)j+(veca*k)k .

Consider the following quadrilateral ABCD in which P,Q,R,S are the mid points of the sides. Find vec(PQ) and vec(SR) in terms of vec(AC) .

In the figure, XY is parallel to Q R. P X=2 cm, Q X=4 cm, P R=9 cm. a) Find PY:YR. b) Find the length of PY.