In Figure, `P Q R` is a triangle and `S` is any point in its interior, show that `S Q+S RltP Q+P R` Given : `S` is any point in the interior of ` P Q R` To Prove : `S Q+S RltP Q+P R` Construction: Produce `Q S` to meet `P R` in `T`

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, 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 figure PS is the bisector of /_Q P R of DeltaP Q R . Prove that (Q S)/(S R)=(P Q)/(P R) .

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

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

If P is the husband of Q and R is the mother of S and Q, what is R to P?

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

In Fig. 6.44, the side QR of PQR is produced to a point S. If the bisectors of /_P Q R and /_P R S meet at point T, then prove that /_Q T R=1/2/_Q P 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