Question

ellen needs to rotate figure klmn 90 - counterclockwise about the origin. she says that after the rotation, the coordinates of k will be (-7,2). is ellen correct? a. yes, ellen found the correct coordinates of k. b. no, the coordinates of k will be (-7,-2). c. no, the coordinates of k will be (2,7).

Explanation:

Step1: Recall rotation rule

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

Step2: Identify original coordinates of K

Assume the original coordinates of point K are $(x_1,y_1)$. From the graph, if we assume the original coordinates of K are $(7,2)$.

Step3: Apply rotation rule

Using the rule $(x,y)\to(-y,x)$, for the point $(7,2)$, we get $(- 2,7)$. So Ellen is wrong.

Answer:

B. No, the coordinates of K will be $(-2,7)$