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)

Explanation:

Since, the rule of transforming the triangle ABC by the scale factor -3/4,

`(x,y)\rightarrow ((-3)/(4)x, (-3)/(4)y)`

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

`(-2, 3)\rightarrow ((-3)/(4)* -2, (-3)/(4)* 3)`

`(4, -3)\rightarrow ((-3)/(4)* 4, (-3)/(4)* -3)`

`(-2, -3) \rightarrow ((-3)/(4)* -2, (-3)/(4)* -3)`

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

B'≡(-3, 9/4)

C'≡(3/2, 9/4)