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**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?

A: Geometer.

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.

A: The Egyptian Rhind Papyrus (2000–1800 BC) and Moscow 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?

A: Jupiter'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.

A: Euclid.

What textbook did Euclid write that is widely considered the most successful and influential textbook of all time?

A: Elements

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 Islam 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.

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?

A: Points.

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: 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: Trigonometry.

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.