Introduction to Geometry

Cards (19)

  • Point
    • Image: dot [ ᐧ ]
    • How to name: ᐧP (read as point P)
    • It has no length, width or thickness and occupies no space
  • Line
    • Image:
    • How to name: line l or
    • Has infinite length but has no width and thickness and it is straight
  • Naming lines with multiple points

    • Line m
    • WX
    • XY
    • WY
  • Plane
    • Image:
    • How to name: Plane P or Plane ABC
    • Has infinite length and width, but no thickness and it is a flat surface
  • Other terms
    • SPACE - set of all points
    • FIGURE - any set of points
    • COPLANAR - set of points that lie on the same plane
    • COLLINEAR - points that lie on the same line
    • NON-COLLINEAR - points that do not lie on the same line
    • NON-COPLANAR - points that do not lie on the same plane
    • A, B and D are collinear
    • A, B and C are non-collinear
    • A, B, C and D are coplanar
    • Points that do not lie on the plane are non-coplanar
  • Intersecting lines
    Two lines that meet at a common point
  • Perpendicular lines
    • Two lines are perpendicular if they intersect and form right angles
    • Symbol for perpendicular: ⟂
  • Parallel lines

    • Coplanar lines that do not meet
    • Symbol for parallel: //
  • Concurrent lines
    Three or more lines that have a common point
  • Parallel planes
    Planes that have no common points
  • Skew lines
    Two lines that are not coplanar
  • Intersecting planes
    Planes that intersect on a line
  • Segment
    • It is a part of a line
    • A segment has two endpoints
  • Ray
    • It is another part of a line
    • It has one endpoint and a part that is continuously extending
  • Angle
    • It is formed by two non-collinear rays that have a common endpoint
    • The endpoint is the vertex of the angle
    • Each ray is the side of the angle
  • Naming angles
    • ∠B
    • ∠ABC
    • ∠𝜃
  • Acute angle
    An angle whose measure is greater than 0 but less than 90
  • Right angle
    An angle whose measure is exactly 90
  • Obtuse angle
    An angle whose measure is greater than 90 but less than 180