In Fig. 4.125, ` F E C~= G B D` and `/_1=/_2` . Prove that ` A D E A B C` . (FIGURE)

In Fig. 4.145, if A B_|_B C , D C_|_B C and D E_|_A C , prove that C E D ∼ A B C . (FIGURE)

In Fig. 4.128, D E F G is a square and /_B A C=90o . Prove that A G F D B G (ii) A G F E F C (FIGURE) (iii) D B G E F C (iv) D E^2=B DxxE C

In Figure, A C=A E ,\ A B=A D\ a n d\ /_B A D=/_E A Cdot Prove that B C=D E

In Fig. if A B_|_B C and D E_|_A C . Prove that A B C ~ A E D

In Figure, A B_|_B C ,F G_|_B C and D E_|_AC.Prove that triangle A D E~G C F

In Figure, if /_\ A B E~= /_\A C D , prove that /_\ A D E ~ /_\ A B C .

In Fig. 4.106, considering triangles B E P and C P D , prove that B PxxP D=E PxxP C (FIGURE)

In Fig. 4.143, /_A=/_C E D , prove that C A B∼ C E D . Also, find the value of x . (FIGURE)

In Fig. if E F|| D C|| A Bdot Prove that (A E)/(E D)=(B F)/(F C) . (FIGURE)

In Fig. if E F|| D C|| A Bdot Prove that (A E)/(E D)=(B F)/(F C) . (FIGURE)