scale factor is 2/3.
directions of B are (9,- 27).
directions of C' are : (12,18)
Bit by bit clarification:
The picture of a triangle after it has been widened with a middle at the beginning has vertices at A'(- 12,6) B'(6,- 18) and C' .
Point A has directions of (- 18,9) and the pre-picture of C' point C has directions of (18,12).
Unmistakably when we think about point An and point A' we see that the change is an enlargement.
let the scale factor of widening is 'k'.
for example A→ A'
for example k(- 18,9)=(- 12,6)
(- 18k,9k)=(- 12,6)
for example - 18k=-12
also, 9k=6
Henceforth, on tackling we get:
k=2/3
for example the scale factor is 2/3.
Moreover,
we discover the directions of B(c,d) by:
2/3(c,d)=(6,- 18) since B→ B'
2/3×c=6
Subsequently c=9
furthermore, 2/3 ×d=-18
d=-27.
Subsequently, the directions of B are (9,- 27).
Likewise the directions of C are (18,12)
Subsequently, directions of C' are:
which means, the directions of C' are : (12,18)
