Classifying Quadrilaterals and Curves Quiz

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Questions and Answers

How many sides does a quadrilateral have?

  • 6
  • 3
  • 4 (correct)
  • 5

Which type of curve does not form a path from any of its point to the same point?

  • Quadrilateral
  • Parallelogram
  • Open curve (correct)
  • Closed curve

Which type of quadrilateral has all sides of equal length?

  • Square (correct)
  • Kite
  • Trapezium
  • Rectangle

Which type of quadrilateral has opposite sides parallel and equal in length?

<p>Parallelogram (C)</p> Signup and view all the answers

What is the total number of vertices in a quadrilateral?

<p>4 (D)</p> Signup and view all the answers

Which type of curve is obtained when a number of points are joined without lifting the pencil from the paper and without retracing any portion?

<p>Open curve (A)</p> Signup and view all the answers

What is a simple closed curve made up of only line segments called?

<p>Polygon (C)</p> Signup and view all the answers

How are polygons classified?

<p>According to the number of their sides or vertices (D)</p> Signup and view all the answers

Which branch of mathematics deals with the study of different types of shapes, their properties, and the construction of lines, angles, and polygons?

<p>Geometry (A)</p> Signup and view all the answers

What is the broad classification of geometry based on the dimensionality of the shapes being studied?

<p>Plane geometry and solid geometry (C)</p> Signup and view all the answers

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Study Notes

Properties of Quadrilaterals

  • A quadrilateral has four sides.
  • A quadrilateral with all sides of equal length is called a rhombus.
  • A quadrilateral with opposite sides parallel and equal in length is called a parallelogram.

Types of Curves

  • A curve that does not form a path from any of its points to the same point is called a non-closed curve.
  • A curve obtained when a number of points are joined without lifting the pencil from the paper and without retracing any portion is called a continuous curve.
  • A simple closed curve made up of only line segments is called a polygon.

Classification of Polygons

  • Polygons are classified based on the number of sides.

Branches of Mathematics

  • The branch of mathematics that deals with the study of different types of shapes, their properties, and the construction of lines, angles, and polygons is called geometry.

Classification of Geometry

  • Geometry is broadly classified based on the dimensionality of the shapes being studied, into two-dimensional (2D) geometry and three-dimensional (3D) geometry.

Other Key Points

  • A quadrilateral has four vertices.

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