Question

quadrilateral lynu can be mapped onto quadrilateral c i k b by a rotation. if ul = 15, find kb.
answer attempt 2 out of 2
kb can be determined. kb = 15

Explanation:

Step1: Recall rotation property

A rotation is a rigid - motion. Rigid motions preserve distances.

Step2: Identify corresponding sides

Since quadrilateral $LYNU$ is mapped onto quadrilateral $CIKB$ by a rotation, side $UL$ and side $KB$ are corresponding sides.

Step3: Determine the length of $KB$

Because rigid motions preserve distances, if $UL = 15$, then $KB=UL$. So $KB = 15$.

Answer:

$15$