Question

Triangle RST has vertices R(1, 2), S(4, -2), and T(2, -5). The triangle is rotated 90° counterclockwise about the origin. Which are the coordinates of the image of vertex T?

Answer 1

(5, 2)

Step-by-step explanation:

If point P with coordinates (x, y) is rotated 90 degrees counterclockwise about the origin, the image will have (-y, x) as coordinates of the image, P'.

So if triangle RST was rotated 90 degrees counterclockwise about the origin, we'll have the below as coordinates of the image of vertex T;

`T(2,-5)\rightarrow T^(\prime)\lbrack(-(-5),2)\rbrack\rightarrow T^(\prime)(5,2)`