Final answer:
To find the scale factor from quadrilateral L to quadrilateral M, divide the length of a side on quadrilateral M (36) by the corresponding length on quadrilateral L (18) to get a scale factor of 2.
Step-by-step explanation:
To determine the scale factor from quadrilateral L to quadrilateral M, you can compare the lengths of corresponding sides in both quadrilaterals. In your question, only one side length for each quadrilateral is provided, which are 18 for quadrilateral L and 36 for quadrilateral M. To find the scale factor, you can simply divide the side length of quadrilateral M by the side length of quadrilateral L.
The scale factor is calculated as follows:
Scale Factor = Length of M / Length of L
Scale Factor = 36 / 18
Scale Factor = 2
This means that every dimension on quadrilateral M is twice as large as the corresponding dimension on quadrilateral L. Therefore, the scale factor that takes quadrilateral L to quadrilateral M is 2.