Question

quadrilateral abcd is translated down and left to form quadrilateral olmn. 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 the property of translation

Translation is a rigid transformation. Rigid transformations preserve the lengths of the sides of a figure. That is, if quadrilateral \(ABCD\) is translated to form quadrilateral \(OLMN\), then the corresponding sides are equal.

Step2: Identify the corresponding sides

In the translation of quadrilateral \(ABCD\) to \(OLMN\), side \(AB\) corresponds to side \(OL\).

Answer:

Since \(AB = 6\) units and \(AB\) and \(LO\) (or \(OL\)) are corresponding sides (because of translation), \(LO=6\) units. So the answer is \(6\) units.