Question

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?

Answer 1

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,

$(x,y)\rightarrow (\frac{-3}{4}x, \frac{-3}{4}y)$

Thus, the coordinates of the transformed triangle A'B'C',

$(-2, 3)\rightarrow (\frac{-3}{4}\times -2, \frac{-3}{4}\times 3)$

$(4, -3)\rightarrow (\frac{-3}{4}\times 4, \frac{-3}{4}\times -3)$

$(-2, -3) \rightarrow (\frac{-3}{4}\times -2, \frac{-3}{4}\times -3)$

So, the coordinates are A'≡(3/2, -9/4)

B'≡(-3, 9/4)

C'≡(3/2, 9/4)