D
the coordinates of B(4, 3 ) and D(4, - 4 )
BD = d - b ← position vector representation
= <4, - 4> - <4, 3> = <0, - 7>
BD' = 2BD = 2<0, - 7> = <0, - 14>
D' = (4 + 0, 3 - 14 ) = (4, - 11 ) → D
Answer:
The correct option is D. (4, -11)
Step-by-step explanation:
By looking at the diagram given :
The coordinates of B are : (4, 3 ) and D are : (4, - 4 )
Now, Using position vector representation
BD can be written as :
BD = D - B
= <4, - 4> - <4, 3>
= <0, - 7>
Now, rectangle ABCD is dilated to A'B'C'D' using vertex B as the center and a magnitude of 2.
⇒ BD' = 2 × BD
= 2 × <0, - 7>
= <0, - 14>
So, Coordinates of D' = (4 + 0, 3 - 14 )
= (4, - 11 )
Therefore, The correct option is D. (4, -11)
