Question

pentagon abcde is rotated 90° counterclockwise about the origin to form pentagon abcde. what is the y - coordinate of point c?

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 coordinates of point C

From the graph, point C has coordinates $(4,2)$.

Step3: Apply rotation rule

Using the rule $(x,y)\to(-y,x)$, for point C$(4,2)$, we substitute $x = 4$ and $y = 2$. We get $(-2,4)$.

Answer:

4