Question

ABCD is a quadrilateral in which BC is parallel to AD and the ratio of the lengths BC: AD is 4:7 Taking vector AB and vector AD as representatives of vectors v and 7u respectively, find which vectors are represented by (1) BC (11) ÃC (iii) BD (iv) DC; (1) BC 4 (W) AE where E is on BD such that BE = BD in length; 11 7 (vi) AF where F is on AC such that AF АС. 11 privedia of triangle ARC and divides RF in the ratio 2.1​

Answer 1

Step-by-step explanation:

Answer

In △ABD and △CBD,

AD=CD       [ given ]

BD=BD       [ Common ]

AB=BC        [ given ]

Hence, △ABD≅△CBD     [ SSS ]

∠ABD=∠1

∠CBD=∠2

∠1=∠2        [ CPCT ]

Also ,

∠3=∠4    [ CPCT ]

Hence ,

BD bisects both the angles ABC and ADE