Question

quadrilateral abcd is translated down and left to form quadrilateral ol mn. if ab = 6 units, bc = 5 units, cd = 8 units, and ad = 10 units, what is lo? 5 units 6 units 8 units 10 units figure may not be drawn to scale

Explanation:

Step1: Recall translation property

Translation is a rigid - motion. In a rigid - motion, the shape and size of the figure do not change, and corresponding sides of the pre - image and the image are congruent.

Step2: Identify corresponding sides

Quadrilateral \(ABCD\) is translated to form quadrilateral \(OLMN\). Point \(A\) corresponds to point \(O\), and point \(B\) corresponds to point \(L\). So, side \(AB\) corresponds to side \(LO\).

Step3: Use side - length equality

Since \(AB = 6\) units and \(AB\cong LO\) (because of translation), then \(LO=6\) units.

Answer:

B. 6 units