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 (translations, rotations, reflections) preserve the shape and size of the figure. That is, the corresponding sides of the pre - image (quadrilateral \(ABCD\)) and the image (quadrilateral \(OLMN\)) are equal.

Step2: Identify the corresponding side

In quadrilateral \(ABCD\) and quadrilateral \(OLMN\), side \(AB\) corresponds to side \(LO\).

Answer:

Since \(AB = 6\) units and \(AB\) and \(LO\) are corresponding sides (because of translation, which is a rigid transformation), \(LO=6\) units. So the answer is \(6\) units.