In Figure, `P Q R S` and `A B R S` are parallelograms and `X` is any point on side `B Rdot` Show that : `a r(^(gm)P Q R S)=a r(^(gm)A B R S)` `a r(A X S)=1/2a r( P Q R S)`

In Figure, P S D A is a parallelogram in which P Q=Q R=R S\ a n d\ A P B Q C Rdot Prove that a r\ (\ P Q E)=\ a r\ (\ C F D)dot

In Figure, P Q R S is a parallelogram. If X\ a n d\ Y are mid-points of P Q\ a n d\ S R respectively and diagonal S Q is jointed. The ratio a r\ (^(gm)\ X Q R Y):\ a r\ ( Q S R)= 1:4 (b) 2:1 (c) 1:2 (c) 1:2 (d) 1:1

The side A B of a parallelogram A B C D is produced to any point Pdot A line through A parallel to C P meets C B produced in Q and the parallelogram P B Q R completed. Show that a r(^(gm)A B C D)=a r(^(gm)B P R Q)dot CONSTRUCTION : Join A C and PQ. TO PROVE : a r(^(gm)A B C D)=a r(^(gm)B P R Q)

In Figure, P Q R is a triangle and S is any point in its interior, show that S Q+S R

P and Q are brothers, R and S are sister P's son is S's brother. How is Q related to R?

P Q R S is a trapezium having P S\ a n d\ Q R as parallel sides. A is any point on P Q\ a n d\ B is a point on S R such that A B Q R . If area of P B Q is 17\ c m^2, find the area of \ A S R

In Figure, P Q R S is a quadrilateral. P Q is its longest side and R S is its shortest side. Prove that /_R > /_P a n d /_S > /_Q Given : P Q R S is a quadrilateral. P Q is its longest side and R S is its shortest side. To Prove : (i) /_R > /_P (ii) /_S > /_Q Construction : Joint P R a n d Q S

ABCD is a quadrilateral in which P, Q, R and S are mid-points of the sides AB, BC, CD and DA. AC is a diagonal. Show that : (i) S R\ ||\ A C and S R=1/2A C (ii) P Q\ =\ S R (iii) PQRS is a parallelogram.

Prove that the figure formed by joining the mid-points of the pair of consecutive sides of a quadrilateral is a parallelogram. OR B A C D is a parallelogram in which P ,Q ,R and S are mid-points of the sides A B ,B C ,C D and D A respectively. A C is a diagonal. Show that : P Q|| A C and P Q=1/2A C S R || A C and S R=1/2A C P Q=S R (iv) P Q R S is a parallelogram.

What should come next in the following letter series ? P Q P Q R P Q R S P Q R S T P Q R S T L P Q R S T U V P Q R S T