Math Quarter 3 G7

• Point


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


  • Represented by a capital letter
  • Best representation is a dot
• Line


  A straight continuous arrangement of infinitely many points
• Line


  • Extends infinitely in both directions
  • Has no thickness
  • Named by a single lowercase script letter or using the symbol for line
• Plane


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


  • Named by a single capital script letter
  • Can also be named using any three non-collinear points
• Forming a line

  Requires at least two points
• Forming a plane


  Requires at least three non-collinear points
• All geometric figures are made up of a collection of points
• Two points determine a line
• Three non-collinear points determine a plane
• Collinear points


  Points that lie on the same line
• Non-collinear points


  Points that do not lie on the same line
• Coplanar points


  Points that lie in the same plane
• Non-coplanar points


  Points that do not lie in the same plane
• Intersection


  The set of all points that are common to the given figures
• The intersection of two lines is a point
• The intersection of two planes is a line
• The intersection of a line and a plane is a point
• The intersection of a line and a plane can also be an empty set or a line
• Parallel lines


  Coplanar lines that do not intersect
• In this video we will discuss about angles
• Ray


  A line that has a starting point but extends infinitely in one direction
• Opposite rays


  Two 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
• Parts of an angle


  • Sides (the rays)
  • Vertex (the common endpoint of the rays)
• Degree


  The unit used to measure an angle
• Protractor


  A tool used to measure the measure of an angle
• Naming an angle


  • Using three points
  • Using the vertex
  • Using the number or letter
• Naming an angle using three points

  • Angle XYZ or Angle ZXY
• Naming an angle using the vertex

  • Angle X
• Naming an angle using the number or letter

  • Angle 1
• Kinds of angles

  • Acute angle (greater than 0 degrees but less than 90 degrees)
  • Right angle (exactly 90 degrees)
  • Obtuse angle (greater than 90 degrees but 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
• Acute angle


  An angle greater than 0 degrees but less than 90 degrees
• Right angle


  An angle that is exactly 90 degrees