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Modern Geometry - Refresher

Total questions: 37

Worksheet time: 19mins

Name
Class
Date
1.

How many number of dimension does a point have?

a)

0

b)

1

c)

2

d)

3

2.

The total number of propositions in the elements are ______.

a)

465

b)

460

c)

13

d)

55

3.

What country does Euclid belong?

a)

Babylonia

b)

Egypt

c)

Greece

d)

India

4.

Euclid stated that all right angles are equal to each other in the form of ______.

a)

an axiom

b)

a definition

c)

a postulate

d)

a proof

5.

 It is known that if x+y =10 x+y\ =10\ then  x+y+z=10+z.x+y+z=10+z.  The Euclid's axiom that illustrates this statement is ______.

a)

First Axiom

b)

Second Axiom

c)

Third Axiom

d)

Fourth Axiom

6.

Euclid's fourth axiom says that everything equals itself.

a)

True

b)

False

7.

The Euclidean geometry is valid only for figures in the plane.

a)

True

b)

False

8.

Pyramid is a solid figure, the base of which is a triangle or square or some other polygon and its side faces are equilateral triangles that converges to a point at the top.

a)

True

b)

False

9.

In geometry, we take a point, a line and a plane as undefined terms.

a)

True

b)

False

10.

If the area of a triangle equals the area of a rectangle and the area of the rectangle equals that of a square, then the area of the triangle also equals the area of the square.

a)

True

b)

False

11.

Euclidean geometry is flat so its curvature is zero.

a)

False

b)

True

c)

Insufficient Information

12.

The negatively curved non-Euclidean geometry is called _____________

a)

Hyperbolic

b)

Elliptical

c)

Spherical

13.

Spherical geometry is called ____________ geometry

a)

Hyperbolic

b)

Elliptical

c)

Euclidean

d)

Non-Euclidean

14.

The sum of the angles of a triangle is less than 180 degrees in _______________ geometry.

a)

Hyperbolic

b)

Elliptical

c)

Euclidean

d)

Non-Euclidean

15.

The sum of the angles of a triangle is equal to 180 degrees in _______________ geometry.

a)

Hyperbolic

b)

Elliptical

c)

Euclidean

d)

Non-Euclidean

16.

Given a straight line and the point not on the line, there are no straight lines through the point parallel to the original line. This is true in _______ geometry.

a)

Hyperbolic

b)

Elliptical

c)

Euclidean

17.

Parallel lines intersect.

a)

True in Euclidean Geometry

b)

True in Projective Geometry

c)

True in Hyperbolic Geometry

d)

True in Elliptical Geometry

e)

False Statement

18.

Euclidean geometry has ______ parallel line/s through any given point not on a line

a)

no

b)

two

c)

one

d)

infinite

19.

The Elements is a mathematical treatise consisting of how many books attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt ?

a)

3

b)

10

c)

13

d)

27

20.

According to Euclid's Postulate, how many lines can pass from two distinct points?

a)

none

b)

only 1

c)

only 2

d)

infinite

21.

According to Euclid's Postulate, how many lines can pass from one point?

a)

none

b)

only 1

c)

only 2

d)

infinite

22.

Things which are equal to the same thing are equal to each other.

a)

True

b)

False

c)

Not at all times

23.

Euclid's First Postulate tells:

a)

A circle can be drawn with any centre and any radius

b)

All rights angles are congruent.

c)

A terminated line can be produced indefinitely.

d)

A straight line may be drawn from any one point to any other point.

24.

Who was the father of Geometry?

a)

Archimides

b)

Newton

c)

Euclid

d)

Kepler

25.

A geometric structure that extends the concept of a plane.

a)

Geometric Plane

b)

Projective figure

c)

Projective Plane

d)

Geometric figure

26.

He is known as the "Great Geometer" on the basis of his text Conic Sections, an eight-"book" (or in modern terms, "chapter") series on the subject.

a)

Aristaeus

b)

Euclid

c)

Apollonius

d)

Kepler

27.

He was the father of Algebra, who is he?

a)

Diophantus

b)

Plato

c)

Aristotle

d)

Balagtas

28.

A plane curve surrounding two focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant. As such, it generalizes a circle, which is the special type of ellipse in which the two focal points are the same.

a)

Parabola

b)

Figure Eight

c)

Hyperbola

d)

Ellipse

29.

It is a mathematical statement that is proved using rigorous mathematical reasoning.

a)

axiom

b)

theorem

c)

conjecture

d)

lemma

30.

 

Statement that assumed to be true without proof.

a)

axiom

b)

theorem

c)

conjecture

d)

lemma

31.

In geometry, how large is a point?

a)

The size of a period on a printed page

b)

One million times smaller than the earth's circumference

c)

Exactly one millimeter in diameter

d)

It has no real size

32.

According to Thales' theorem

a)

The square of the hypotenuse is equal to the sum of the squares of the other two sides of a right triangle

b)

The sum of the squares of any two sides of any triangle equals twice the square on half the third side, together with twice the square on the median bisecting the third side

c)

If A, B, and C are distinct points on a circle where the line AC is a diameter, then the angle ∠ABC is a right angle

33.

The legs of a right triangle are represented by a and b, and the hypotenuse of the right triangle is represented by c. Which equation represents the Pythagorean Theorem?

a)

a2 + b2 = c2

b)

a + b = c

c)

a2 + c2 = b2

34.

Which of the following used geometry to construct a mathematical model of the solar system as a response to Plato's challenge to his students about retrograde Motion?

a)

Hippocrates

b)

eudoxus

c)

euclid

d)

pythagoras

35.

 

Which is not one of Euclid’s postulates?

a)

10 secAll right angles are equal to one another

b)

A straight line can be drawn from any two points

c)

A circle can not be described with any center and distance

d)

A straight line can be drawn unlimitedly

36.

Which of the following needs a proof?

a)

theorem

b)

postulate

c)

definition

d)

axiom

37.

If x +y=7x\ +y=7   and xy =5xy\ =5  , what is x3+y3x^3+y^3  ?

a)

343

b)

289

c)

238

d)

105