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

In figure, DE || AC and DF || AE. Prove that (B F)/(F E)=(B E)/(E C) .

In Figure, D E || A C and D F || A E . Prove that (E F)/(B F)=(E C)/(B E) .

In Figure, A B||C F\ a n d\ B C||E D . Prove that /_A B C=\ /_F D E

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

In Fig. 4.32, D E|| A Q and D F|| A R . Prove that E F || Q R . (FIGURE)

In Figure, A D is the median and D E||A Bdot Prove that B E is the median.

In Fig. 4.124, E is a point on side C B produced of an isosceles triangle A B C with A B=A C . If A D_|_B C and E F_|_A C , prove that (i) A B D E C F (ii) A BxxE F=A DxxE C . (FIGURE)

In Fig. 4.246, if P B C F and D P E F , then (A D)/(D E)= (FIGURE) 3/4 (b) 1/3 (c) 1/4 (d) 2/3

If A B C and D E F are two triangles such that (A B)/(D E)=(B C)/(E F)=(C A)/(F D)=2/5 , then A r e a( A B C): A r e a( D E F)=

If A B C and D E F are two triangles such that (A B)/(D E)=(B C)/(E F)=(C A)/(F D)=3/4 , then write Area ( A B C): A r e a( D E F) .