A researcher distributes a questionnaire on parents' use of rewards to a chosen group of parents. From the responses, she makes inferences regarding the larger population of parents represented by the group of parents being questioned. What is this type of correlational research called?

Survey.

Explanation:

The researcher conducting survey research selects a sample of participants from a population and regulates a structured questionnaire to them. This type of research is one of the most significant assessing areas in applied social science research. It can be used by almost any discipline, including techniques such as a face-to-face interview, or a telephone interview, etc.

(C) Base angle theorem

Step-by-step explanation:

Given: JKLM is an isosceles trapezoid, KL ∥ JM  

Prove: KM ≅ JL

Proof:

Statements                                                                 Reasons

1. JKLM is an isosceles trapezoid, KL ∥ JM               Given

2. JK ≅ LM                                                definition of isosceles trapezoid

3.  KL ≅ KL                                                          reflexive property

4. ∠JKL ≅ ∠MLK                                          Base angle theorem (base=LK)

5. △JKL ≅ △MLK                                                       SAS rule

6. KM ≅ JL                                                                  CPCTC  

Hence proved.

therefore, option C is correct.