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. 7 in. 9 in. 5 in.

Explanation:

Step1: Reflection preserves side lengths

Reflection is an isometry, so corresponding sides of ABCD and TURS are equal.

Step2: Identify corresponding sides

ABCD has sides AB, BC, CD, DA; TURS has sides TU, UR, RS, ST. By vertex order, AB corresponds to TU.

Step3: TU equals AB

AB = 7 in, so TU = 7 in.

Answer:

7 in