Question

1. rotate segment cd 180 degrees around point d.

Explanation:

Step1: Recall rotation property

A 180 - degree rotation around a point is a half - turn. If we rotate a line segment \(CD\) 180 degrees around point \(D\), the new segment will be on the same straight line as \(CD\) and will have the same length as \(CD\), but will be in the opposite direction with respect to \(D\).

Step2: Visualize the result

The new segment will have \(D\) as one of its endpoints. Let the other endpoint be \(C'\). The point \(C'\) will be such that \(D\) is the mid - point of the line segment \(CC'\).

Answer:

The new segment will be on the extension of \(CD\) such that \(|CD| = |DC'|\) and \(C'\) is on the opposite side of \(C\) with respect to \(D\).