Final answer:
To create a true statement based on the given inequality of angles (∠M>∠F), the correct relationship symbol is ">", which indicates that DE is greater than KL.
Step-by-step explanation:
If ∠M is greater than ∠F, then DE is also greater than KL. To make a true statement with the provided information, the correct relationship symbol would be ">", as the inequality between the angles suggests a corresponding inequality between the segments DE and KL.
When comparing two angles, if one angle is larger than the other, and the sides of those angles are related in the same scenario or geometric figure, we can generally infer that the side opposite the larger angle is also larger than the side opposite the smaller angle. This is a basic concept in geometry that relates the sizes of angles to the lengths of the sides opposite those angles.
The use of inequality symbols to show how two metric measurements are related is helpful and necessary in geometry for comparing sizes of angles, lengths, areas, and volumes.