Ix-al lys-blr center A(-1,2) and the circle of radius 3 with center 81.0) b. Des
ID: 1721155 • Letter: I
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Ix-al lys-blr center A(-1,2) and the circle of radius 3 with center 81.0) b. Deseribe the intersection of the cirele of radius 1 with On Graph paper Interpret "O is between P and R" by d(P.o)+d o.R) d,(P,R) Color the set of a that are between P3,1) and R(3rah paper On Graph paper 9 points) Axiomatic System Consider the axiomatic system with undefined terms point, line, and on and the following axioms ) There is a line and a point that is not on the line. ii) Every two distinct points have a unique line on them both i) Every two distinct lines have at least one point on them both. iv) Every line has at least three points on it. a. The following is a model for the system in which a point is represented by a dota by a line segment, except that the two segments together connecting points F, E interpreted as one line. This shows that the axiomatic system is Consistent (consistent, independent, or complete). [2 points) b. Show that this system has at least 7 points. [4 points] cShow that Axiom iv) is independent of the rest of the axioms. [3 points] d. Show that Axiom i) is independent of the rest of the axioms. [3 bonus points) points) If an axiomatic system is independent, must it be complete? Explain your answer.Explanation / Answer
Try these models Let A ,B,C,D,E be five points.
The lines are subets consisting precisely of two points.
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