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a conjecture and the two-column proof used to prove the conjecture are shown.

given: s is the midpoint of rt.
st ≅ xy
prove: rs ≅ x

statement

1. s is the midpoint of rt.

2.

3. st ≅ xy

4.

reason

1. given

2.

3. given

4.

given: s is the midpoint of rt

definition of midpoint: rs st

given: st xg

transitive property of congruence: rs xy

D. Observational study

Step-by-step explanation:

We are given that Nico looked around the cafeteria during the lunch to see whether people purchased lunch or brought their own.

It is known that:

1. 'Survey' means to question a wide variety of population about their views on a particular issue.

2. 'Simulation' refers to act out a situation or process in order to find some conclusions.

3. 'Experiment' represent a scientific procedure undertaken in demonstrate a fact or test a hypothesis.

4. 'Observational study' is to study the samples without the variables being under the control of the observer.