Answer: The coordinates of triangle A'B'C',
A'≡(3/2, -9/4)
B'≡(-3, 9/4)
C'≡(3/2, 9/4)
Step-by-step explanation:
Since, the rule of transforming the triangle ABC by the scale factor -3/4,
[tex](x,y)\rightarrow (\frac{-3}{4}x, \frac{-3}{4}y)[/tex]
Thus, the coordinates of the transformed triangle A'B'C',
[tex](-2, 3)\rightarrow (\frac{-3}{4}\times -2, \frac{-3}{4}\times 3)[/tex]
[tex](4, -3)\rightarrow (\frac{-3}{4}\times 4, \frac{-3}{4}\times -3)[/tex]
[tex](-2, -3) \rightarrow (\frac{-3}{4}\times -2, \frac{-3}{4}\times -3)[/tex]
So, the coordinates are A'≡(3/2, -9/4)
B'≡(-3, 9/4)
C'≡(3/2, 9/4)