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, D E F G is a square and /_B A C=90 . Prove that (i) A G F ~ D B G (ii) A G F ~ E F C (iii) D B G ~ E F C (iv) D E^2=B D x E C

In Fig. 4.101, A D and C E are two altitudes of A B C . Prove that A E F ~ C D F (ii) A B D ~ C B E (iii) A E F ~ A D B (iv) F D C ~ B E C (FIGURE)

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

Identify A, B, C, D, E, F,G

Identify A, B, C, D, E, F,G

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

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)

A B J H , J D E F , A C E G are squares. (B C)/(A B)=3 . (A r e a B C D J)/(A r e a H J F G)=? (FIGURE) 1/9 (b) 1/3 (c) 1 (d) 3