Question

quadrilateral abcd is reflected over line segment y as shown, resulting in quadrilateral turs. figure may not be drawn to scale. 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: Recall reflection property

Reflection is a rigid transformation, so corresponding sides of the original and reflected figures are equal.

Step2: Identify corresponding sides

In quadrilateral \(ABCD\) and its reflection \(TURS\), side \(AB\) corresponds to side \(TU\).

Step3: Use given length of \(AB\)

Given \(AB = 7\) in, so \(TU = AB = 7\) in.

Answer:

\(7\) in (corresponding to the option "7 in")