In Figure, `P Q R S` is a quadrilateral in which diagonals `P R` and `Q S` intersect in `O` . Show that `P Q+Q R+R S+S P > P R+Q S` PQ+QR+RS+SP<2 (PR+QS)

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

P Q R S is a square such that P R\ a n d\ S Q intersect at Odot State the measure of /_P O Q

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

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

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)

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 : Join P R and Q Sdot Figure

In Fig 7.51, P R\ >\ P Q and PS bisects /_Q P R . Prove that /_P S R\ >/_P S Q .

In Fig. 6.42, if lines PQ and RS intersect at point T, such that /_P R T=40^@, /_R P T=95^@ and /_T S Q=75^@, find /_S Q T .

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.