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 transformation. In a translation, the pre - image and the image are congruent. Corresponding sides of congruent figures are equal.

Step2: Identify corresponding sides

Quadrilateral \(ABCD\) is translated to form quadrilateral \(OLMN\). Side \(AB\) corresponds to side \(LO\).

Step3: Use given side - length

Given \(AB = 6\) units. Since \(LO=AB\) (corresponding sides of congruent figures formed by translation), then \(LO = 6\) units.

Answer:

6 units