In Figure, `A P B Q\ C Rdot` Prove that `a r\ ( A Q C)=\ a r\ (P B R)`

In Figure, A P || B Q\ || C R . Prove that a r\ ( A Q C)=\ a r\ (P B R)

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 Fig.9.28, A P" "||" "B Q" "||" "C R . Prove that a r" "(A Q C)" "=" "a r" "(P B R)dot

In A A B C ,\ P\ a n d\ Q are respectively the mid-points of A B\ a n d\ B C and R is the mid-point of A Pdot Prove that: a r\ ( P B Q)=\ a r\ (\ A R C)

In Figure, P S=P R ,\ \ /_T P S=\ /_Q P Rdot Prove that P T=P Q

In Figure P Q || C D and P R || C B. Prove that ( A Q)/(Q D)=(A R)/(R B)dot

In A A B C ,\ P\ a n d\ Q are respectively the mid-points of A B\ a n d\ B C and R is the mid-point of A Pdot Prove that: a r\ (\ P R Q)=1/2a r\ (\ A R C)

In Fig. if P Q|| B C and P R|| C D . Prove that (i) (A R)/(A D)=(A Q)/(A B) (ii) (Q B)/(A Q)=(D R)/(A R) .

In Figure, P Q || B C and A P : P B=1:2 . Find (a r e a( A P Q))/(a r e a( A B C)) .

In A B C and P Q R Figure, A B=P Q ,B C=Q R and C B and R Q are extended to X and Y respectively and /_A B X =/_P Q Ydot Prove that A B C~=P Q Rdot Figure