Free Printable Quiz_Parallel Postulate

1.

He was a French Mathematician who worked to confirm the Newton-Huygens belief that the Earth was flattened at the poles?

a)

Alexis-Claude Clairaut

b)

Giovanni Girolamo Saccheri

c)

Tomasso Ceva

d)

Voltaire

2.

Where was Saccheri born?

a)

Paris, France

b)

Lapland

c)

SAn Remo, Genoa

d)

Como

3.

Which among the pictures is Voltaire who was an acquaintance of Clairaut?

a)

b)

c)

d)

4.

What part of Saccheri's quadrilateral is the hyperbolic geometry inclined?

a)

obtuse angle hypothesis

b)

acute angle hypothesis

c)

right angle

d)

none of the above

5.

Who is the proponent of the Quadrilaterals with two angles less than right angles and two angles greater than right angles.

a)

du Chatelet

b)

Clairaut

c)

Ceva

d)

Saccheri

6.

Which of the following is the text where the Rectangle Axiom of Clairaut is discussed?

a)

Quaesita geometrica

b)

Logica Demonstrativa

c)

Elements de Geometrie

d)

Euclides ab Omni Naevo Vindicatus

7.

Which of the following is the first work of Saccheri?

a)

Quaesita geometrica

b)

Logica Demonstrativa

c)

Elements de Geometrie

d)

Euclides ab Omni Naevo Vindicatus

8.

In this work of Saccheri, he did important work on non-Euclidian geometry in 1733 before he died.

a)

Quaesita geometrica

b)

Logica Demonstrativa

c)

Elements de Geometrie

d)

Euclides ab Omni Naevo Vindicatus

9.

He was an Italian Jesuit who did important early work on non-euclidian geometry.

a)

Alexis-Claude Clairaut

b)

Giovanni Girolamo Saccheri

c)

Tomasso Ceva

d)

Voltaire

10.

To whom did Clairaut help in translating Newton's Principia into French?

a)

du Chatelet

b)

Clairaut

c)

Ceva

d)

Saccheri

11.

Which of the following is not a work of Saccheri?

a)

Logica Demonstrativa

b)

Theorie de la Figure de la Terre

c)

Elements de Geometrie

d)

Euclides ab Omni Naevo Vindicatus

12.

Who among these Mathematicians have learned reading with the use of Euclid's Elements?

a)

Marquise du Chatelet

b)

Giovanni Girolamo Saccheri

c)

Alexis-Claude Clairaut

d)

Voltaire

13.

What part of Saccheri's quadrilateral is the elliptic geometry inclined?

a)

obtuse angle hypothesis

b)

acute angle hypothesis

c)

right angle

d)

none of the above

14.

The aim of this work by Saccheri is to study definitions.

a)

Quaesita geometrica

b)

Logica Demonstrativa

c)

Elements de Geometrie

d)

Euclides ab Omni Naevo Vindicatus

15.

A point is defined as

a)

that which has no length no breadth no height

b)

small part of a line with no length

c)

no dimension, bur represented by dot only

d)

undefined term, represented by a dot

16.

Which of the following needs a proof?

a)

Postulates

b)

Definition

c)

Proposition

d)

Axiom

17.

According to Euclid’s definition, the ends of a line are

a)

breadth less

b)

points

c)

length less

d)

None of these

18.

Difference between ‘postulate’ and ‘axiom’ is

a)

there is no difference

b)

few statements are termed as axioms and other as

postulates

c)

postulates’ are the assumptions used specially for

geometry and ‘axioms’ are the assumptions used

throughout mathematics.

d)

None of these

19.

The term of ‘geometry’ came from the word geo in Greek, which means ___a___, while metria means ‘____b___’

a)

a=earth

b=measure

b)

a=moon

b=measure

c)

a=earth

b=moon

20.

A rule that is accepted without proof

a)

postulate

b)

theorem

c)

proof

d)

conditional statement

21.

A statement proved true using axioms, postulates, or other theorems known to be true

a)

theorem

b)

angle

c)

transversal

d)

Euclidean Geometry

22.

A mathematical statement that requires proof is a

a)

theorem

b)

postulate

c)

definition

d)

conjecture

23.

Things that are double of the same things are equal to one another.

a)

Axiom

b)

Definition

c)

Postulate

24.

All right angles are equal.

a)

Axiom

b)

Definition

c)

Postulate

25.

‘Lines are parallel if they do not intersect’ is stated in

the form of:

a)

a postulate

b)

a definition

c)

an axiom

d)

a proof

26.

Which term does not belong to the group?

a)

line

b)

plane

c)

point

d)

ray

27.

Which of the following needs to be proven before it can be accepted as a true statement?

a)

Definition

b)

Postulate

c)

Property

d)

Theorem

28.

All of the following are postulates EXCEPT _________________________.

a)

A line contains at least 2 points.

b)

A plane contains at least 3 points.

c)

If two lines intersect, then they intersect at exactly one point.

d)

If two planes intersect, then their intersection is a line.

29.

What undefined term does a sheet of paper illustrates?

a)

line

b)

plane

c)

point

d)

ray

30.

It is the intersection of two planes.

a)

line

b)

point

c)

plane

d)

ray

31.

What postulate / theorem describes the given illustration?

a)

Theorem 2: If a point lies outside a line, then exactly one plane contains both the line and the point.

b)

Postulate 1: A line contains at least two points.

c)

Postulate 3: Through any two points, there is exactly one line.

d)

Postulate 5: If two points lie in the plane, then line joining them lies in that plane.

32.

At least how many non-collinear points does a plane can contain?

a)

1

b)

2

c)

3

d)

4

33.

If two points lie on the same plane, then they are collinear.

a)

TRUE

b)

FALSE

34.

If the points are not coplanar, then they are not collinear.

a)

TRUE

b)

FALSE

35.

Johann dropped all of his 5 marbles on their tile floor. From the given situation, which of the following is true?

a)

All the marbles are collinear.

b)

All the marbles are coplanar.

c)

All the marbles are at the same place.

d)

All of the above.

36.

Which of the is need to be proven before it can be accepted as true statement?

a)

Property

b)

Definition

c)

Theorem

d)

Postulate

37.

What postulate/theorem describes the given illustration?

a)

The Linear Pair Postulate

b)

The Line Intersection Theorem

c)

The Line Postulate

d)

The Plane Line Postulate

38.

Refer to the figure, which of the following is not a name of a ray?

a)

b)

c)

d)

39.

Which of the following is not a defined term?

a)

Angle

b)

Line

c)

Line Segment

d)

Ray

40.

Name the angle on the figure.

a)

b)

c)

d)

41.

What is the vertex of the angle in the figure?

a)

Vertex L

b)

Vertex J

c)

Vertex K

d)

Vertex M

42.

It are statements accepted to be true without proof.

a)

Postulate

b)

Defined Terms

c)

Property

d)

Theorem

43.

Which of the following is not true on the figure?

a)

Line KM and Line KJ are parallel lines.

b)

Line KM and Line KJ are intersecting lines.

c)

Intersecting point of line KM and line KJ is point K.

d)

Point L is in Line KJ.

44.

2) Given the following two parallel lines cut by a transversal.

Which pair of angles represents corresponding angles?

a)

$\angle1$ and $\angle6$

b)

$\angle6$ and $\angle5$

c)

$\angle7$ and $\angle8$

d)

$\angle4$ and $\angle8$

45.

1) Given the two parallel lines cut by a transversal.

What is the vertical angle to angle 4?

a)

Angle 2

b)

Angle 6

c)

Angle 8

d)

Angle 7

46.

4) Given the following two parallel lines cut by a transversal.

Which pair of angles represents alternate exterior angles?

a)

$\angle4$ and $\angle8$

b)

$\angle7$ and $\angle5$

c)

$\angle1$ and $\angle2$

d)

$\angle6$ and $\angle5$

47.

Which of the following angles would NOT be congruent to the measure of $\angle7$ ?

a)

$\angle2$

b)

$\angle3$

c)

$\angle6$

d)

$\angle8$

48.

Which of the following is NOT an example of supplementary angles?

a)

$\angle7\ and\ \angle8$

b)

$\angle2\ and\ \angle3$

c)

$\angle1\ and\ \angle7$

d)

$\angle6\ and\ \angle4$

49.

If the $m\angle7\ =\ 115\degree,$ find the measure of $\angle2.$

a)

$115\degree$

b)

$65\degree$

c)

$180\degree$

d)

Cannot be determined

50.

If the $m\angle5\ =\ 63\degree,$ find the measure of $\angle3.$

a)

$63\degree$

b)

$117\degree$

c)

$180\degree$

d)

Cannot be determined

51.

If the $m\angle1\ =\ 57\degree,$ find the measure of $\angle6.$

a)

$123\degree$

b)

$57\degree$

c)

$180\degree$

d)

Cannot be determined

52.

Which angles are supplementary?

a)

Corresponding angles

b)

Same Side Interior Angles

c)

Vertical angles

d)

Alternate Interiotr Angles

53.

Name the relationship and how their angle measures are related.

a)

Same-Side Interior, Congruent

b)

Same-Side Interior, Supplementary

c)

None of These Options

d)

Corresponding, Congruent

54.

Solve for the value of x.

a)

40

b)

44

c)

48

d)

88

55.

Solve for the value of x.

a)

55

b)

60

c)

65

d)

70

Quiz_Parallel Postulate

Total questions: 55

Worksheet time: 2hrs 50mins

Similar Resources on Wayground