Question

if p = (-1, -1), find the image of p under the following rotation. 90° counterclockwise about the origin (?, ) enter the number that belongs in the green box.

Explanation:

Step1: Recall rotation rule

For a \(90^\circ\) counterclockwise rotation about the origin, the rule is \((x,y)\to(-y,x)\).

Step2: Apply the rule to \(P = (-1,-1)\)

Here, \(x=-1\) and \(y = -1\). Substituting into the rule, we get \((-(-1),-1)=(1,-1)\). The first coordinate (in the green box) is \(1\).

Answer:

\(1\)