Question

quadrilateral abcd is rotated 55° about point r to create quadrilateral abcd.
what is the length of segment \overline{cd}?
units

Explanation:

Step1: Recall the property of rotation

Rotation is a rigid transformation. Rigid transformations (rotations, translations, reflections) preserve the lengths of segments.

Step2: Identify the corresponding segment

In the rotation of quadrilateral \(ABCD\) about point \(R\) to get \(A'B'C'D'\), segment \(CD\) corresponds to segment \(C'D'\).

Step3: Determine the length

Since \(CD = 2.8\) units and rotation preserves length, \(C'D'=CD\).

Answer:

\(2.8\)