Math Is Fun Forum

My teacher responded to some questions and I wanted you guys to check my new responses.

Imagine you have been called as a expert witness in a court case.  Your expertise is in the area of planes (not airplanes, just planes in geometry).  You have been asked the following questions.  Your task is to convince the jury that there is, in fact, a plane.  You must prove all three of the definitions of a plane given in Lesson 1.  You may need to include some other definitions such as the definition of an angle, a ray, etc.

14.  Question from the lawyer:  "Dr. Expert, I only see three parallel lines here.  Terry said that having these three parallel lines mean you have a plane.  I enter Exhibit A which shows three definitions of a plane.  From what I see, none of these definitions say that three parallel lines define a plane.  Explain how the definitions in Exhibit A prove that three parallel lines define a plane."   (This question is worth 3 points.)

15.  Question from the lawyer:  "Dr. Expert, I only see an angle between 0° and 180° here.  Kelly said that having this angle means you have a plane.  I enter Exhibit A which shows three definitions of a plane.  From what I see, none of these definitions say that an angle defines a plane.  Explain how the definitions in Exhibit A prove that an angle defines a plane."   (This question is worth 3 points.)