Geometry Trivia Quiz Questions With Answers
Geometry math trivia quiz questions with answers
Geometry Trivia Quiz Questions With Answers
What is geometry?
A: Geometry is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.
A mathematician who works in the field of geometry is called a what?
Differential geometry uses what techniques to study problems in geometry?
A: Calculus and linear algebra.
Discrete geometry is concerned mainly with questions of what?
A: Relative position of simple geometric objects, such as points, lines and circles.
When can the earliest recorded beginnings of geometry be traced to?
A: Ancient Mesopotamia and
Egypt in the 2nd millennium BC.
Early geometry was a collection of empirically discovered principles concerning what?
A: Lengths, angles, areas, and volumes, which were developed for surveying, construction, astronomy, and various crafts.
What are the earliest known texts on geometry?
A: The Egyptian Rhind Papyrus (2000–1800 BC) and
Papyrus (c. 1890 BC), and the Babylonian clay tablets such as Plimpton 322 (1900 BC).
What does the Moscow Papyrus give a formula for?
A: Calculating the volume of a truncated pyramid, or frustum.
Later clay tablets (350–50 BC) demonstrate that Babylonian astronomers implemented trapezoid procedures for computing what?
's position and motion within time-velocity space.
South of Egypt, who established a system of geometry including early versions of sun clocks?
A: The ancient Nubians.
In the 7th century BC, the Greek
mathematician Thales of Miletus used geometry to solve problems such as what?
A: Calculating the height of pyramids and the distance of ships from the shore.
He is credited with the first use of deductive reasoning applied to geometry, by doing what?
A: Deriving four corollaries to Thales' Theorem
Pythagoras established what school, which is credited with the first proof of the Pythagorean Theorem?
A: The Pythagorean School.
Around 300 BC, geometry was revolutionized by whom?
What textbook did Euclid write that is widely considered the most successful and influential textbook of all time?
The book introduced mathematical rigor through the axiomatic method and is the earliest example of what?
A: The format still used in mathematics today, that of definition, axiom, theorem, and proof.
Although most of the contents of the Elements were already known, Euclid arranged them into a what?
A: A single, coherent logical framework.
In the Middle Ages, mathematics in medieval
contributed to the development of what?
A: Geometry, especially algebraic geometry.
In the early 17th century, what were two important developments in geometry?
A: . The first was the creation of analytic geometry and the second was the systematic study of projective geometry.
Projective geometry is geometry without what?
A: Measurement or parallel lines, just the study of how points are related to each other.
What are points are considered in Euclidean geometry?
A: Fundamental objects.
In many areas of geometry, such as analytic geometry, differential geometry, and topology, all objects are considered to be built up from what?
How did Euclid describe a line?
A: As "breadthless length" which "lies equally with respect to the points on itself".
In modern mathematics, given the multitude of geometries, the concept of a line is closely tied to what?
A: The way the geometry is described.
In analytic geometry, a line in the plane is often defined as what?
A: The set of points whose coordinates satisfy a given linear equation.
With incidence geometry, a line may be a what?
A: An independent object, distinct from the set of points which lie on it.
In differential geometry, what is a geodesic?
A: A generalization of the notion of a line to curved spaces.
A plane is a what?
A: Flat, two-dimensional surface that extends infinitely far.
How did Euclid define a plane angle?
A: As the inclination to each other, in a plane, of two lines which meet each other, and do not lie straight with respect to each other.
How is a plan angle defined in modern terms?
A: An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
In Euclidean geometry, angles are used to study what?
A: Polygons and triangles, as well as forming an object of study in their own right.
The study of the angles of a triangle or of angles in a unit circle forms the basis of what?
A curve is a 1-dimensional object that may be straight (like a line) or not; curves in 2-dimensional space are called plane curves and those in 3-dimensional space are called space curves.