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Finite Geometry of Desargues

Total questions: 25

Worksheet time: 13mins

Name
Class
Date
1.

Who is this?

a)

Desargues

b)

Daserguest

c)

Dasergues

d)

Desarguest

2.

How many lines and point are elements of Desargues triangle?

a)

3

b)

7

c)

10

d)

12

3.

The pole of the line is also called as

a)

Line of perspective

b)

Point of perspective

c)

Triangle of perspective

d)

Northern perspective

4.

The polar of the point is also called as

a)

Line of perspective

b)

Point of perspective

c)

Triangle of perspective

d)

Northern perspective

5.

Where do corresponding sides of the triangles meet?

a)

Desargues point

b)

Polar of the point

c)

Point of perspective

d)

Pole of the line

6.

If D is our point of perspective which is our line of perspective?

a)

FEA

b)

JFA

c)

GAC

d)

JIC

7.

If D is our point of perspective which are the triangles?

a)

EDB & EDH

b)

DGC & DGI

c)

ABC & FIH

d)

IGC & HEB

8.

If J is our point of perspective which is our line of perspective?

a)

GFI

b)

GED

c)

GEA

d)

GJD

9.

If D is our point of perspective which is our polar of the point?

a)

H & B

b)

JFA

c)

D

d)

GED

10.

If J is our point of perspective which are the triangles?

a)

EDB & EDH

b)

JBC & JBA

c)

GIC & FEA

d)

FHI & ACB

11.

If J is our point of perspective which is our polar of the point?

a)

H & B

b)

GED

c)

J

d)

FHI & ACB

12.

If J is our point of perspective which is our pole of the line?

a)

H & B

b)

GED

c)

J

d)

FHI & ACB

13.

If two triangles are perspective to a point it is also perspective to a?

a)

Line

b)

Triangle

c)

Point

d)

Perspective

14.

Which axiom states that there exist at least 1 point?

a)

Axiom 1

b)

Axiom 2

c)

Axiom 3

d)

Axiom 4

15.

Which axiom states that If a line does not contain a certain point, then there is a point on both the line and any polar of the point.

a)

Axiom 6

b)

Axiom 4

c)

Axiom 2

d)

Axiom 5

16.

Which axiom states that 2 distinct points are at most 1 line

a)

Axiom 1

b)

Axiom 2

c)

Axiom 4

d)

Axiom 5

17.

Which axiom states that every line has at least 3 distinct points in it?

a)

Axiom 2

b)

Axiom 3

c)

Axiom 4

d)

Axiom 5

18.

Is this an example of finite geometry of Desargues?

a)

Yes

b)

No

19.

Is this an example of finite geometry of Desargues?

a)

Yes

b)

No

20.

Is this an example of finite geometry of Desargues?

a)

Yes

b)

No

21.

Is this an example of finite geometry of Desargues?

a)

Yes

b)

No

22.

Is this an example of finite geometry of Desargues?

a)

Yes

b)

No

23.

Is this an example of finite geometry of Desargues?

a)

Yes

b)

No

24.

How many triangles are perspective to a point and a line in the finite geometry of Desargues?

a)

2

b)

3

c)

7

d)

10

25.

Is this an example of finite geometry of Desargues?

a)

Yes

b)

No