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?

Question

asked Jul 13, 2020 211k views

1 Answer

Decapo · Answer 1 · 2020-07-19T20:55:31+0000

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)