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?
4 in.
5 in.
7 in.
9 in.

Explanation:

Step1: Understand the property of reflection

When a figure is reflected over a line, the corresponding sides of the original figure and its image are equal in length.

Step2: Identify the corresponding side

In the reflection of quadrilateral \(ABCD\) over line segment \(y\) to get quadrilateral \(TURS\), side \(AD\) in quadrilateral \(ABCD\) corresponds to side \(TU\) in quadrilateral \(TURS\).

Answer:

\(5\) in. (Since \(AD = 5\) in. and \(AD\) corresponds to \(TU\) after reflection)