10 Questions
2 Views

# Analytic Geometry Quiz

Created by
@FastUnakite

## Questions and Answers

### Match the following fields with their application of analytic geometry:

Physics and engineering = Application of coordinate system for geometric study Aviation, rocketry, space science, and spaceflight = Utilization of Cartesian coordinate system for manipulation of equations Algebraic, differential, discrete, and computational geometry = Foundation of most modern fields of geometry School books explanation = Concerned with defining and representing geometric shapes in a numerical way

### Match the following geometric concepts with their application in analytic geometry:

Euclidean plane (two dimensions) = Studied using the Cartesian coordinate system Euclidean space = Also studied using the Cartesian coordinate system Planes, straight lines, and circles = Equations manipulated using the Cartesian coordinate system Numerical information extraction = Derived from shapes' numerical definitions and representations

### Match the following with their use in analytic geometry:

Menaechmus' method = Strong resemblance to the use of coordinates Cantor-Dedekind axiom = Employed to yield results about the linear continuum of geometry Synthetic geometry = Contrasts with the use of coordinate system in analytic geometry Coordinate system = Utilized for the study of geometry

### Match the following with their application in modern fields of geometry:

<p>Analytic geometry = Foundation of algebraic, differential, discrete, and computational geometry Real numbers algebra = Employed to yield results about the linear continuum of geometry Cartesian coordinate system = Applied to manipulate equations for planes, straight lines, and circles Geometry study = Utilization of the Cantor-Dedekind axiom for yielding results</p> Signup and view all the answers

### Match the following with their application in representing geometric shapes numerically:

<p>Analytic geometry = Concerned with defining and representing geometric shapes in a numerical way Numerical information extraction = Derived from shapes' numerical definitions and representations Coordinate system = Utilized for representing geometric shapes numerically Circles and planes = Equations manipulated using numerical representations in analytic geometry</p> Signup and view all the answers

### Analytic geometry, also known as coordinate geometry or Cartesian geometry, is the study of geometry using a coordinate system. This contrasts with ______.

<p>synthetic geometry</p> Signup and view all the answers

### Usually the Cartesian coordinate system is applied to manipulate equations for planes, straight lines, and circles, often in two and sometimes ______ dimensions.

<p>three</p> Signup and view all the answers

### Analytic geometry is used in physics and engineering, and also in aviation, rocketry, space science, and ______.

<p>spaceflight</p> Signup and view all the answers

### Geometrically, one studies the Euclidean plane (two dimensions) and Euclidean ______.

<p>space</p> Signup and view all the answers

### The Greek mathematician Menaechmus solved problems and proved theorems by using a method that had a strong resemblance to the use of ______ and it has sometimes been maintained that he had introduced analytic geometry.

<p>coordinates</p> Signup and view all the answers

## More Quizzes Like This

Use Quizgecko on...
Browser
Information:
Success:
Error: