If `A B C D` is a quadrilateral in which `A B C D` and `A D=B C ,` prove that `/_A` =`/_B` .

In Figure, A B C D is a trapezium in which A B C D and A D=B Cdot show that : /_A=/_B (ii) /_C=/_D A B C~= B A D diagonal A C=d i agon a lB D

In figure, ABC is a triangle in which /_A B C=90^@ and A D_|_B C . Prove that A C^2=A B^2+B C^2-2B C.B D .

ABCD is a quadrilateral in which and /_D A B\ =/_C B A (see Fig. 7.17). Prove that (i) DeltaA B D~=DeltaB A C (ii) B D\ =\ A C (iii) /_A B D\ =/_B A C

A B C D is a cyclic quadrilateral in which: B C A D ,\ /_A D C=110^0\ a n d\ /_B A C=50^0dot Find /_D A C /_D B C=80^0\ a n d\ /_B A C=40^0dot Find /_B C D /_B C D=100^0a n d\ /_A B D=70^0 find /_A D B

In Figure, A B C D is a quadrilateral in which diagonal \ A C=84\ c m ; D L_|_A C ,\ B M_|_A C ,\ D L=16. 5\ c m and B M=12\ c m . Find the area of quadrilateral A B C Ddot

In figure, ABC is triangle in which /_A B C > 90o and A D_|_C B produced. Prove that A C^2=A B^2+B C^2+2B C.B D .

In Figure, it is given that A B=B C and A D=E C . Prove that A B E~=C B D

In a quadrilateral A B C D , given that /_A+/_D=90o . Prove that A C^2+B D^2=A D^2+B C^2 .

If a