Question

graph the image of △pqr after a rotation 90° counterclockwise around the origin.

Explanation:

Step1: Recall rotation rule

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

Step2: Assume coordinates

Let's assume the coordinates of $P=(x_1,y_1)$, $Q=(x_2,y_2)$, and $R=(x_3,y_3)$. After rotation, the new coordinates will be $P'=(-y_1,x_1)$, $Q'=(-y_2,x_2)$, $R'=(-y_3,x_3)$.

Step3: Plot new points

Plot the points $P'$, $Q'$, and $R'$ on the same coordinate grid and connect them to form the new triangle $\triangle P'Q'R'$.

Answer:

Graph the new triangle formed by the rotated points using the rule $(x,y)\to(-y,x)$ for each vertex of $\triangle PQR$.