In Fig. 4.97, if `/_A=/_C` , then prove that ` A O B ~ C O D` . (FIGURE)

In Fig.4.97, if /_A=/_C, then prove that AOB~~COD.( 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 A B_|_B C and D E_|_A C . Prove that A B C ~ A E D

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. 4.170, A B C D is a trapezium in which A B∥ D C and A B=2\ D C . Determine the ratio of the areas of A O B and C O D . (FIGURE)

In Fig. 4.126, (O A)/(O C)=(O D)/(O B) . Prove that /_A=/_C and /_B=/_D . (FIGURE)

In Fig. 4.244, if /_A D E=/_A B C , then C E= (FIGURE) (a) 2 (b) 5 (c) 9//2 (d) 3

In A B C ,\ \ /_A=60o . Prove that B C^2=A B^2+A C^2-A B.A C .

In A B C ,\ \ /_A=60o . Prove that B C^2=A B^2+A C^2-A B.A C .

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