Question

1. what is the result of rotating a point (3,4) 90 degrees clockwise around the origin?

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

Explanation:

Step1: Recall rotation rule

The rule for rotating a point $(x,y)$ 90 - degrees clockwise around the origin 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 $(4,-3)$.

Answer:

B. $(4, - 3)$