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Triangle ABC has the following coordinates: A (-2, 3) B (4, -3) C (-2, -3) What are the coordinates points for triangle A'B'C' if the scale factor is −3/4?

Respuesta :

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)