Question

a triangle has vertices (0,2), (4,2), and (2,5). what are the coordinates of the vertex (2,5) after a 90 - degree clockwise rotation around the origin?
o a. (5,2)
o b. (-2,-5)
o c. (-5,2)
o d. (5,-2)

Explanation:

Step1: Recall rotation rule

For a 90 - degree clockwise rotation around the origin, the transformation rule for a point $(x,y)$ is $(x,y)\to(y, - x)$.

Step2: Apply the rule

Given the point $(2,5)$, substituting $x = 2$ and $y = 5$ into the rule, we get $(5,-2)$.

Answer:

d. $(5, - 2)$