Question

graph the image of $\triangle cde$ after a rotation $180^{circ}$ counterclockwise around the origin.

Explanation:

Step1: Identify original coordinates

Coordinates: $E(-8, -1)$, $D(-2, -1)$, $C(-2, -2)$

Step2: Apply 180° rotation rule

For any point $(x,y)$, 180° rotation around origin gives $(-x,-y)$.

• $E' = (8, 1)$
• $D' = (2, 1)$
• $C' = (2, 2)$

Step3: Plot new points and connect

Plot $E'(8,1)$, $D'(2,1)$, $C'(2,2)$; connect to form $\triangle C'D'E'$.

Answer:

The image $\triangle C'D'E'$ has vertices at $C'(2, 2)$, $D'(2, 1)$, and $E'(8, 1)$. When plotted and connected, this forms the rotated triangle.