In Figure, `P Q R S` is a rhombus in which the diagonal `P R` is produced to `Tdot` If `/_S R T=152^0,\ ` find `x ,\ y\ a n d\ z`

In Figure, P Q R S is an isosceles trapezium. Find x\ a n d\ y

If P Q R S is a square, then write the measure of /_S R P

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 square and T\ a n d\ U are, respectively, the mid-points of P S\ a n d\ Q R . Find the area of O T S\ if P Q=8\ c mdot

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

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

In Fig. 6.39, sides QP and RQ of DeltaP Q R are produced to point S and T respectively. If /_S P R=135^@ and /_P Q T=110^@ , find /_P R Q.

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

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)