Question

1. a rectangle has vertices at (1,2), (3,2), (3,4), and (1,4). what are the new coordinates of the vertex (1,2) after a 270-degree clockwise rotation around the origin?

a. (-1,2)
b. (-2,1)
c. (-2,-1)
d. (1,-2)

Explanation:

Step1: Recall rotation rule

A 270° clockwise rotation around the origin transforms a point $(x,y)$ to $(-y,x)$.

Step2: Substitute given point

For point $(1,2)$, $x=1$, $y=2$. Apply the rule:
$(-y,x) = (-2,1)$

Answer:

b. (-2,1)