Question

parallelogram efgh is rotated 90° clockwise about the origin. after the rotation, what is the location of vertex h?
a. (2, 9)
b. (-2, -9)
c. (9, 2)
d. (-9, -2)

Explanation:

Step1: Recall rotation rule

The rule for a 90 - degree clockwise rotation about the origin is $(x,y)\to(y, - x)$.

Step2: Identify original coordinates of H

From the graph, the original coordinates of vertex H are $(-2,9)$.

Step3: Apply rotation rule

Using the rule $(x,y)\to(y, - x)$ with $x=-2$ and $y = 9$, we get $(9,2)$.

Answer:

C. $(9,2)$