To solve this, we need to rotate the line segment $CD$ by 180 degrees around point $E$.

Rotation by 180 degrees:

• When we rotate a point or a segment 180° around another point, the result is that each point on the segment ends up directly opposite to its starting position, at the same distance from the center of rotation.
• Essentially, if we reflect each point through the center of rotation, we get the rotated figure.

Steps for rotating segment $CD$:

1. Identify Coordinates: Suppose the coordinates of $C$, $D$, and $E$ are known (or assume they can be plotted). The midpoint $M$ of segment $CD$ is not relevant for this rotation but indicates the center of the segment.
2. Rotate Points:
   • Rotate point $C$ around $E$ by 180°.
   • Rotate point $D$ around $E$ by 180°.
   • The new positions of $C$ and $D$ will be directly opposite their current positions relative to point $E$, forming a new segment.

Since this is a purely geometric operation (180° rotation results in a straight line opposite), the rotated segment $CD$ would flip entirely over point $E$.

Would you like more details or a step-by-step drawing approach?

Here are 5 related questions:

1. How would the image change if we rotated by 90° instead of 180°?
2. What are the general rules for rotating a point around another point?
3. How do you calculate the new coordinates of a point after rotation?
4. What happens to the distance between points during a 180° rotation?
5. How do you define the direction of rotation (clockwise vs. counterclockwise)?

Tip: For 180° rotations, the new coordinates of any point $(x, y)$ become $(-x, -y)$ relative to the center of rotation.