Triangle ABC is shown on the graph. What are the coordinates of the image of point B after the triangle is rotated 270° about the origin?

Question

(4, 2)
(2, 4)
(–4, –2)
(–2, –4)

Answer 1

Without seeing the graph, we don't have the information to give the exact solution.  However, I can give you an example to help you figure it out once you determine the original coordinates of B.

 

There is a formula to calculate a 270° about the origin rotation:

(x, y) → (y, -x)

 

This means you reverse the order of x and y, and negate the original x-value (flip the sign).

 

If we rotate the point (3, -5) 270º, it would become (-5, -3) since we reverse 3 and -5, then make 3 negative.

If we rotate the point (-6, -7) 270º, it would become (-7, 6) since we reverse -6 and -7, then make the -6 positive.