GED0103 – Mathematics in the Modern World
Formative Assessment: Finite Geometries
CHAVEZ, Nicole Anne N.
Work independently or by pair or by group of three and consult only your instructor
regarding these problems.
Referring to the presentation, change each of the word “point” by line
and each of the word
“line” by point
to obtain the axioms of the three-line geometry.
1. There exist exactly three distinct line in the geometry.
2. Each two distinct lines are on exactly one point.
3. Not all lines of the geometry are on the same point.
4. Each two distinct points are on at least line.
Give an illustration for the three-line and four-line geometries.