Math 7

• Key information about points:

  • A point is a position in space with only location but no dimension
  • It does not have length, width, or thickness
  • A point is named using a capital letter
• Examples of points:

  • Sesame seed
  • Corner of a box
  • Tip of a pen
• Key information about lines:

  • A line is a straight continuous arrangement of infinitely many points
  • It extends infinitely in both directions
  • A line has no thickness
  • A line is named by a single lowercase script letter
• Examples of lines:

  • Edge of a table
  • Rope
  • Pencil
• Key information about planes:

  • A plane is a flat surface that extends infinitely along its length and width
  • It has length, width, and thickness
  • A plane is named by a single script capital letter
• Examples of planes:

  • Area
  • Carpet
  • Sheet of paper
• Naming conventions:

  • A line is named using a single lowercase script letter
  • A plane is named using a single script capital letter
  • A plane can also be named using any three points in the plane
• Forming lines and planes:

  • Two points determine a line
  • At least three non-collinear points determine a plane
• The product of two numbers is the result when they are multiplied together.
• The sum of two numbers is the result when they are added together.
• Point
• A point is a position in space with only location but no dimension
• It does not have length, width, or thickness and does not occupy an area
• Points are named using capital letters
• Examples of points include sesame seed, corner of a box, and tip of a pen
• Line
• A line is a straight continuous arrangement of infinitely many points
• It extends infinitely in both directions and has no thickness
• Lines are named by a single lowercase script letter
• At least two points are needed to determine a line
• Plane
• A plane is a flat surface that extends infinitely along its length and width
• It has length, width, and thickness
• Planes are named by a single script capital letter
• At least three non-collinear points are needed to determine a plane
• Naming Conventions
• Lines are named using single lowercase script letters or by using any two points on the line
• Planes are named using single script capital letters or by using any three points in the plane