Math mastery exam reviewer

• In this video we will discuss and define terms point, line and plane
• The objective is to represent a point, line and plane using concrete and pictorial models
• Activity


  Group objects according to whether they represent a point, line or plane
• Line


  • Edge of a table
  • Rope
  • Pencil
• Plane


  • Flat surface
  • Carpet
  • Sheet of paper
• Point

  A position in space with only location but no dimension, length, width or thickness, and does not occupy an area
• Point


  • Named using a capital letter
• Line

  A straight continuous arrangement of infinitely many points, extending infinitely in both directions, with no thickness
• Line


  • Named using a single lowercase script letter or by two points
• Plane


  A flat surface that extends infinitely along its length and width
• Plane


  • Named using a single capital script letter or by three non-collinear points
• To form a line, you need at least two points
• To form a plane, you need at least three non-collinear points
• The diagram shows points A, W, X, Y, Z, lines a, b, c, d, and planes L and WXYZ
• Ray


  A line that extends infinitely in one direction from a point
• Opposite rays


  Rays that share a common endpoint but extend in opposite directions
• Collinear points


  Points lying on the same line
• Non-collinear points


  Points not lying on the same line
• Angle


  A figure formed by two non-collinear rays
• Angle


  • Has two sides (the rays)
  • Has a vertex (the common endpoint of the rays)
• Degree


  The unit used to measure an angle
• Angle naming


  • Using three points (e.g. angle ABC)
  • Using the vertex (e.g. angle B)
  • Using a number or letter (e.g. angle 1)
• Types of angles


  • Acute angle (greater than 0 degrees, less than 90 degrees)
  • Right angle (exactly 90 degrees)
  • Obtuse angle (greater than 90 degrees, less than 180 degrees)
• Interior points of an angle

  Points inside the angle
• Exterior points of an angle

  Points outside the angle
• Points on the angle


  Points on the sides of the angle