Question

1. a triangle has vertices (0, 2), (4, 3), and (2, 5). what are the coordinates of the vertex (2, 5) after a 90 - degree clockwise rotation around the origin? a. (5, - 2) b. (5, 2) c. (-2, - 5) 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 rule to point

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

Answer:

a. $(5, - 2)$