Question

1. when a point (3,4) is rotated 90 degrees clockwise around the origin, what are the new coordinates?

a. (-3,4)
b. (-4,-3)
c. (4,-3)
d. (4,3)

Explanation:

Step1: Recall rotation formula

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 $(3,4)$, substituting $x = 3$ and $y = 4$ into the rule, we get the new point $(4,-3)$.

Answer:

C. (4, -3)