CD and GH are respectively the bisectors of `/_A C B`and `/_E G F`such that D and H lie on sides AB and FE of `DeltaA B C\ and\ DeltaE F G`respectively. If`DeltaA B C DeltaF E G`, show that:(i) `(C D)/(G H)=(A G)/(F G)` (ii) `DeltaD

CD and GH are respectively the bisectors of /_A C B and /_E G F such that D and H lie on sides AB and FE of DeltaA B C and DeltaE F G respectively. If DeltaA B C ~DeltaF E G , show that: (i) (C D)/(G H)=(A G)/(F G) (ii) ∆ DCB ~ ∆ HGE (iii) ∆ DCA ~ ∆ HGF

In Figure, C D and G H are respectively the medians of A B C and E F G . If A B C ~ F E G , prove that (i) A D C ~ F H G (ii) (C D)/(G H)=(A B)/(F E) (iii) C D B ~ G H E

In Fig. 4.103, C D and G H are respectively the medians of A B C and E F G . If A B C ~ F E G , prove that (FIGURE) A D C ~ F H G (ii) (C D)/(G H)=(A B)/(F E) (iii) C D B ~ G H E

In Fig. 4.102 (i) and (ii) , if C D and G H (D\ a n d\ H lie on A B and F E ) are respectively bisectors of /_A C B and /_E G F and A B C ~ F E G , prove that (FIGURE) D C A ~ H G F (ii) (C D)/(G H)=(A C)/(F G) (iii) D C B ~ H G E

In Fig. 4.102 (i) and (ii) , if C D and G H (D\ a n d\ H lie on A B and F E ) are respectively bisectors of /_A C B and /_E G F and A B C ~ F E G , prove that (FIGURE) D C A ~ H G F (ii) (C D)/(G H)=(A C)/(F G) (iii) D C B ~ H G E

A B C D is a square E ,\ F ,\ G\ a n d\ H are points on A B ,\ B C ,\ C D\ a n d\ D A respectively, such that A E=B F=C G=D H . Prove that E F G H is square.

If E ,F ,G and H are respectively the mid-points of the sides of a parallelogram A B C D , show that a r(E F G H)=1/2a r(A B C D)

If E ,F ,G and H are respectively the mid-points of the sides of a parallelogram A B C D , show that a r(E F G H)=1/2a r(A B C D)dot

A B C D is a square E ,\ F ,\ G\ a n d\ H are points on A B ,\ B C ,\ C D\ a n d\ D A respectively, such that A E=B F=C G=D Hdot Prove that E F G H is square.

A B C D is a square E ,\ F ,\ G\ a n d\ H are points on A B ,\ B C ,\ C D\ a n d\ D A respectively, such that A E=B F=C G=D Hdot Prove that E F G H is square.