Question

quadrilateral abcd is reflected over line segment y as shown, resulting in quadrilateral turs.
if ( ad = 5 ) in., ( ab = 7 ) in., ( dc = 4 ) in., and ( bc = 9 ) in., what is tu?
figure may not be drawn to scale.

Explanation:

Step1: Use the property of reflection

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

Step2: Identify the corresponding segment

In a reflection of quadrilateral \(ABCD\) over line \(y\) to get quadrilateral \(TURS\), segment \(AB\) corresponds to segment \(TU\).

Answer:

\(7\) in.