If ` Delta A B C ~ Delta P Q R` such that `a r( A B C)=4a r( P Q R)dot` If `B C=12 c m` , then `Q R=`

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

The side A B of a parallelogram A B C D is produced to any point Pdot A line through A parallel to C P meets C B produced in Q and the parallelogram P B Q R completed. Show that a r(llgm A B C D)=a r(llgm B P R Q)dot CONSTRUCTION : Join A C and PQ. TO PROVE : a r(llgm A B C D)=a r(llgm B P R Q)

The areas of two similar triangles A B C and P Q R are in the ratio 9: 16 . If B C=4. 5 c m , find the length of Q R .

In figure Cm and RN are respectively the medians of DeltaA B C and DeltaP Q R . If DeltaA B C ~DeltaP Q R , prove that: (i) DeltaA M C ~DeltaP N R (ii) (C M)/(R N)=(A B)/(P Q) (ii) DeltaC M B ~DeltaR N Q

In A B C ,D is the mid-point of A B ,P is any point of B C, C Q || P D meets A B in Q . Show that a r( B P Q)=1/2a r( A B C)dot TO PROVE : a r( B P Q)=1/2a r( A B C) CONSTRUCTION : Join CD.

If Delta P Q R\ ~= Delta E F D , then /_E= (a) /_P (b) /_Q (c) /_R (d) None of these

The side A B of a parallelogram A B C D is produced to any point Pdot A line through A parallel to C P meets C B produced in Q and the parallelogram P B Q R completed. Show that a r(^(gm)A B C D)=a r(^(gm)B P R Q)dot CONSTRUCTION : Join A C and PQ. TO PROVE : a r(^(gm)A B C D)=a r(^(gm)B P R Q)

If the areas of two similar triangles A B C and P Q R are in the ratio 9: 16 and B C=4. 5 c m , what is the length of Q R ?

P and Q are respectively the mid-points of sides AB and BC of a triangle ABC and Ris the mid-point of AP, show that (i) a r (P R Q)=1/2a r(A R C) (ii) a r (R Q C)=3/8a r (A B C) (iii) a r (P B Q) =a r (ARC)

P Q R S is a trapezium having P S\ a n d\ Q R as parallel sides. A is any point on P Q\ a n d\ B is a point on S R such that A B || Q R . If area of /_\P B Q is 17\ c m^2, find the area of \ /_\A S R