In Figure, `A B=A CdotB E\ a n d\ C F` are respectively the bisectors of `/_B` and `/_C` . Prove that ` e b c\ ~=\ F C B`

In Figure, A B=A CdotB E\ a n d\ C F are respectively the bisectors of /_B and /_C . Prove that E C B \ ~=\ F C B

In Figure, A B=A CdotB E and C F are respectively the bisectors of /_B and /_C . Prove that E B C=F C Bdot

A D\ a n d\ B E are respectively altitudes of A B C such that A E=B D . Prove that A D=B E .

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. 4.102 (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

In Figure, A D\ a n d\ B E are respectively altitudes of an isosceles triangle A B C with A C=B Cdot Prove that A E=B D

If Figure, arms B A\ a n d\ B C\ of /_A B C are respectively parallel to arms E D\ a n d\ E F of /_D E F . Prove that /_A B C=/_D E F .

B D\ a n d\ C E are bisectors of /_B\ a n d\ /_C of an isosceles A B C with A B=A C . Prove that B D=C E

In Figure A B C D\ a n d\ A E F D are two parallelograms. Prove that: P E=F Q