Lesson 13: Finite Geometry Quiz

How many distinct points exist in the three-point geometry?

• Four

• Three

• Two

• Five

According to the axiom, how many distinct lines are on at least one point in the three-point geometry?

• Two

• One

• Four

• Three

What is the model for the three-point geometry?

• Circle

• Pentagon

• Square

• Triangle

How many distinct points exist in the four-point geometry?

• Three

• Four

• Six

• Five

According to the axiom, how many distinct lines are on exactly two points in the four-point geometry?

• Four

• Two

• One

• Three

What is the dual of the four-point geometry?

• Three-point geometry

• Six-point geometry

• Seven-point geometry

• Five-point geometry

How many points and lines exist in Fano's Geometry?

• Seven points and seven lines

• Eight points and eight lines

• Six points and six lines

• Five points and five lines

What is the connection between finite geometries and combinatorial objects?

• Loose connection

• No connection

• Random connection

• Strong connection

What is the name of the geometry that has the axiom 'If a point does not lie on a given line, then there is exactly one line on that point parallel to the given line'?

• Pappus' Geometry

• Young's Geometry

• Desargues' Geometry

• Fano's Geometry

What is the Theorem of Pappus?

• If two triangles are perspective from a line then they are not perspective from a point

• If two triangles are perspective from a point then they are not perspective from a line

• If two triangles are perspective from a line then they are perspective from a point

• If two triangles are perspective from a point then they are perspective from a line