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WorksheetsModern Geometry - Refresher
Total questions: 37
Worksheet time: 19mins
How many number of dimension does a point have?
0
1
2
3
The total number of propositions in the elements are ______.
465
460
13
55
What country does Euclid belong?
Babylonia
Egypt
Greece
India
Euclid stated that all right angles are equal to each other in the form of ______.
an axiom
a definition
a postulate
a proof
It is known that if x+y =10 then x+y+z=10+z. The Euclid's axiom that illustrates this statement is ______.
First Axiom
Second Axiom
Third Axiom
Fourth Axiom
Euclid's fourth axiom says that everything equals itself.
True
False
The Euclidean geometry is valid only for figures in the plane.
True
False
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.
True
False
In geometry, we take a point, a line and a plane as undefined terms.
True
False
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.
True
False
Euclidean geometry is flat so its curvature is zero.
False
True
Insufficient Information
The negatively curved non-Euclidean geometry is called _____________
Hyperbolic
Elliptical
Spherical
Spherical geometry is called ____________ geometry
Hyperbolic
Elliptical
Euclidean
Non-Euclidean
The sum of the angles of a triangle is less than 180 degrees in _______________ geometry.
Hyperbolic
Elliptical
Euclidean
Non-Euclidean
The sum of the angles of a triangle is equal to 180 degrees in _______________ geometry.
Hyperbolic
Elliptical
Euclidean
Non-Euclidean
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.
Hyperbolic
Elliptical
Euclidean
Parallel lines intersect.
True in Euclidean Geometry
True in Projective Geometry
True in Hyperbolic Geometry
True in Elliptical Geometry
False Statement
Euclidean geometry has ______ parallel line/s through any given point not on a line
no
two
one
infinite
The Elements is a mathematical treatise consisting of how many books attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt ?
3
10
13
27
According to Euclid's Postulate, how many lines can pass from two distinct points?
none
only 1
only 2
infinite
According to Euclid's Postulate, how many lines can pass from one point?
none
only 1
only 2
infinite
Things which are equal to the same thing are equal to each other.
True
False
Not at all times
Euclid's First Postulate tells:
A circle can be drawn with any centre and any radius
All rights angles are congruent.
A terminated line can be produced indefinitely.
A straight line may be drawn from any one point to any other point.
Who was the father of Geometry?
Archimides
Newton
Euclid
Kepler
A geometric structure that extends the concept of a plane.
Geometric Plane
Projective figure
Projective Plane
Geometric figure
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.
Aristaeus
Euclid
Apollonius
Kepler
He was the father of Algebra, who is he?
Diophantus
Plato
Aristotle
Balagtas
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.
Parabola
Figure Eight
Hyperbola
Ellipse
It is a mathematical statement that is proved using rigorous mathematical reasoning.
axiom
theorem
conjecture
lemma
Statement that assumed to be true without proof.
axiom
theorem
conjecture
lemma
In geometry, how large is a point?
The size of a period on a printed page
One million times smaller than the earth's circumference
Exactly one millimeter in diameter
It has no real size
According to Thales' theorem
The square of the hypotenuse is equal to the sum of the squares of the other two sides of a right triangle
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
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
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?
a2 + b2 = c2
a + b = c
a2 + c2 = b2
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?
Hippocrates
eudoxus
euclid
pythagoras
Which is not one of Euclid’s postulates?
10 secAll right angles are equal to one another
A straight line can be drawn from any two points
A circle can not be described with any center and distance
A straight line can be drawn unlimitedly
Which of the following needs a proof?
theorem
postulate
definition
axiom
If x +y=7 and xy =5 , what is x3+y3 ?
343
289
238
105
