Question

graph the image of rectangle klmn after a rotation $90^\circ$ counterclockwise around the origin.

Explanation:

Step1: Identify original coordinates

$K(4,2), L(5,2), M(5,10), N(4,10)$

Step2: Apply 90° CCW rotation rule

For a point $(x,y)$, new point is $(-y,x)$

• $K': (-2,4)$
• $L': (-2,5)$
• $M': (-10,5)$
• $N': (-10,4)$

Step3: Plot new points and connect

Plot $K', L', M', N'$ then draw sides.

Answer:

The rotated rectangle has vertices at $(-2,4)$, $(-2,5)$, $(-10,5)$, and $(-10,4)$. When plotted and connected, this forms the 90° counterclockwise rotated image of rectangle $KLMN$ around the origin.