In Figure, `A P\ _|_l\ a n d\ P R > P Q` . Show that `A R > A Q` Given: `A P_|_l\ a n d\ P R > P Q` To Prove: `A R > A Q` Construction: Mark a point `S` on `P R` such that `P S=P Qdot` Join `A S`

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

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

In Fig. 4.90, if P O S ~ R O Q , prove that P S Q R . (FIGURE)

In Figure, A B C D\ a n d\ P Q R C are rectangles and Q is the mid-point of A C . Prove that D P=P C (ii) P R=1/2\ A C

In Fig. 6.15, /_P Q R=/_P R Q , then prove that /_P Q S=/_P R T .

In Fig. 4.90, if P S Q R , prove that P O S ~ R O Q . (FIGURE)

In Figure, /_Q P R=\ /_P Q R\ a n d\ M\ a n d\ N are respectively on sides Q R\ a n d\ P R of P Q R\ such that Q M=P Ndot Prove that O P=O Q , where O is the point of intersection of P M\ a n d\ Q N

If P + Q = R and P - Q = S, prove that R^2 + S^2 = 2(P^2 + Q^2)

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 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