Back
0

Applications of Geometry

Description: This quiz will test your knowledge of the applications of geometry in various fields.
Number of Questions: 15
Created by:
Tags: geometry applications mathematics
Start the Quiz
Attempted 0/15 Correct 0 Score 0
‹
›

In architecture, the concept of Golden Ratio is often used to create aesthetically pleasing designs. What is the approximate value of the Golden Ratio?

  1. 1.618

  2. 2.718

  3. 3.142

  4. 4.242

Show answer
Correct Option: A
Explanation:

The Golden Ratio, also known as the Divine Proportion, is an irrational number approximately equal to 1.618. It is often used in architecture, art, and design to create visually appealing compositions.

In surveying, the concept of triangulation is used to determine the distance between two points. What is the basic principle behind triangulation?

  1. Using similar triangles to calculate distances

  2. Using Pythagoras' theorem to calculate distances

  3. Using the Law of Cosines to calculate distances

  4. Using the Law of Sines to calculate distances

Show answer
Correct Option: A
Explanation:

Triangulation involves creating a triangle with the two points of interest and a third point whose distance from the first two points is known. By using the properties of similar triangles, the distance between the two points of interest can be calculated.

In navigation, the concept of great circles is used to determine the shortest distance between two points on a sphere. What is a great circle?

  1. A circle that passes through the center of a sphere

  2. A circle that lies on the surface of a sphere

  3. A circle that intersects a sphere at two points

  4. A circle that is tangent to a sphere

Show answer
Correct Option: A
Explanation:

A great circle is a circle that passes through the center of a sphere and divides it into two equal halves. Great circles are used in navigation to determine the shortest distance between two points on the Earth's surface.

In computer graphics, the concept of perspective projection is used to create realistic images of 3D objects. What is the basic principle behind perspective projection?

  1. Objects closer to the viewer appear larger than objects farther away

  2. Objects closer to the viewer appear smaller than objects farther away

  3. Objects closer to the viewer appear the same size as objects farther away

  4. Objects closer to the viewer appear distorted compared to objects farther away

Show answer
Correct Option: A
Explanation:

Perspective projection is a technique used in computer graphics to create realistic images of 3D objects. It involves projecting the 3D objects onto a 2D plane, with objects closer to the viewer appearing larger than objects farther away.

In crystallography, the concept of crystal structure is used to describe the arrangement of atoms, molecules, or ions in a crystal. What is the basic unit of a crystal structure?

  1. A unit cell

  2. A lattice point

  3. A crystal plane

  4. A crystal axis

Show answer
Correct Option: A
Explanation:

A unit cell is the basic unit of a crystal structure. It is a parallelepiped that contains all the information necessary to describe the entire crystal structure.

In astronomy, the concept of Kepler's Laws is used to describe the motion of planets around the Sun. What is Kepler's First Law?

  1. The orbit of a planet is an ellipse with the Sun at one focus.

  2. The speed of a planet is constant as it orbits the Sun.

  3. The square of a planet's orbital period is proportional to the cube of its average distance from the Sun.

  4. The plane of a planet's orbit is fixed in space.

Show answer
Correct Option: A
Explanation:

Kepler's First Law states that the orbit of a planet is an ellipse with the Sun at one focus. This means that the planet's distance from the Sun varies as it orbits.

In biology, the concept of fractal geometry is used to describe the structure of certain natural objects. What is a fractal?

  1. A geometric object that exhibits self-similarity at different scales

  2. A geometric object with a non-integer dimension

  3. A geometric object that is infinitely complex

  4. A geometric object that is chaotic

Show answer
Correct Option: A
Explanation:

A fractal is a geometric object that exhibits self-similarity at different scales. This means that the same basic pattern repeats itself at different magnifications.

In economics, the concept of isoquants is used to represent the different combinations of inputs that can be used to produce a given output. What is an isoquant?

  1. A curve that shows all the combinations of inputs that can be used to produce a given output

  2. A curve that shows all the combinations of inputs that can be used to produce a given output at a given cost

  3. A curve that shows all the combinations of inputs that can be used to produce a given output at a given level of technology

  4. A curve that shows all the combinations of inputs that can be used to produce a given output at a given level of efficiency

Show answer
Correct Option: A
Explanation:

An isoquant is a curve that shows all the combinations of inputs that can be used to produce a given output. It is a graphical representation of the production possibilities for a given output.

In psychology, the concept of mental maps is used to describe the way people represent spatial information in their minds. What is a mental map?

  1. A cognitive representation of the spatial relationships between objects in an environment

  2. A cognitive representation of the spatial relationships between objects in a person's memory

  3. A cognitive representation of the spatial relationships between objects in a person's imagination

  4. A cognitive representation of the spatial relationships between objects in a person's dreams

Show answer
Correct Option: A
Explanation:

A mental map is a cognitive representation of the spatial relationships between objects in an environment. It is a way for people to organize and remember information about the layout of their surroundings.

In sociology, the concept of social networks is used to describe the relationships between individuals in a group. What is a social network?

  1. A set of individuals who are connected by social ties

  2. A set of individuals who interact with each other on a regular basis

  3. A set of individuals who share a common interest or goal

  4. A set of individuals who live in the same geographic area

Show answer
Correct Option: A
Explanation:

A social network is a set of individuals who are connected by social ties. These ties can be based on friendship, kinship, marriage, or other social relationships.

In political science, the concept of gerrymandering is used to describe the practice of drawing electoral district boundaries in a way that favors one political party over another. What is gerrymandering?

  1. The practice of drawing electoral district boundaries in a way that favors one political party over another

  2. The practice of drawing electoral district boundaries in a way that favors one racial or ethnic group over another

  3. The practice of drawing electoral district boundaries in a way that favors one economic class over another

  4. The practice of drawing electoral district boundaries in a way that favors one religious group over another

Show answer
Correct Option: A
Explanation:

Gerrymandering is the practice of drawing electoral district boundaries in a way that favors one political party over another. This can be done by packing voters of one party into a few districts, or by spreading them out across many districts.

In military strategy, the concept of defense in depth is used to describe a strategy for defending a position against an attack. What is defense in depth?

  1. A strategy for defending a position against an attack by creating multiple layers of defense

  2. A strategy for defending a position against an attack by concentrating all defensive forces in one area

  3. A strategy for defending a position against an attack by withdrawing all defensive forces to a safe location

  4. A strategy for defending a position against an attack by attacking the enemy before they can launch their attack

Show answer
Correct Option: A
Explanation:

Defense in depth is a strategy for defending a position against an attack by creating multiple layers of defense. This makes it more difficult for the enemy to penetrate the defenses and reach the objective.

In sports, the concept of trajectory is used to describe the path of a projectile in motion. What is a trajectory?

  1. The path of a projectile in motion

  2. The path of a ball in flight

  3. The path of a rocket in space

  4. The path of a bullet in the air

Show answer
Correct Option: A
Explanation:

A trajectory is the path of a projectile in motion. It is determined by the initial velocity of the projectile, the angle at which it is launched, and the force of gravity.

In music, the concept of harmonic series is used to describe the relationship between the frequencies of different notes. What is a harmonic series?

  1. A series of notes that are related by whole-number ratios

  2. A series of notes that are related by half-number ratios

  3. A series of notes that are related by irrational ratios

  4. A series of notes that are related by random ratios

Show answer
Correct Option: A
Explanation:

A harmonic series is a series of notes that are related by whole-number ratios. This means that the frequencies of the notes are in a simple ratio to each other.

In art, the concept of perspective is used to create the illusion of depth in a two-dimensional image. What is perspective?

  1. The technique of creating the illusion of depth in a two-dimensional image

  2. The technique of creating the illusion of movement in a two-dimensional image

  3. The technique of creating the illusion of light and shadow in a two-dimensional image

  4. The technique of creating the illusion of texture in a two-dimensional image

Show answer
Correct Option: A
Explanation:

Perspective is the technique of creating the illusion of depth in a two-dimensional image. This is done by using lines and shapes to create the appearance of distance.

- Hide questions
ADVERTISEMENT

Find more quizzes from top tags

general knowledge
3615 Quizzes
119858 Questions
 technology
307 Quizzes
36705 Questions
 sports
963 Quizzes
19148 Questions
 history
1187 Quizzes
13475 Questions
 physics
598 Quizzes
13441 Questions
 biology
1160 Quizzes
12174 Questions
 science & technology
551 Quizzes
11015 Questions
 chemistry
490 Quizzes
9892 Questions
 maths
518 Quizzes
9324 Questions
 softskills
0 Quizzes
7131 Questions