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. figure may not be drawn to scale.

Explanation:

Step1: Recall reflection property

Reflection over a line preserves the shape and size of the figure. So, quadrilateral \(ABCD\) and quadrilateral \(TURS\) are congruent.

Step2: Identify corresponding sides

In congruent quadrilaterals, corresponding sides are equal. \(TU\) corresponds to \(AB\).

Answer:

\(7\) in. (Since \(AB = TU\) due to reflection - congruence property)