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?
figure may not be drawn to scale.

Explanation:

Step1: Recall the property of translation

Translation is a rigid transformation. In a rigid transformation, the shape and size of the figure do not change. So, the corresponding sides of the original quadrilateral \(ABCD\) and the translated quadrilateral \(OLMN\) are equal.

Step2: Identify the corresponding side

Since \(AB\) in quadrilateral \(ABCD\) corresponds to \(LO\) in quadrilateral \(OLMN\) (by the nature of translation mapping one figure to another while preserving side - lengths). Given \(AB = 6\) units.

Answer:

\(6\) units